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xx double cross xx 1. what do you get when you cross a vampire with a t…

Question

xx double cross xx

  1. what do you get when you cross a vampire with a turtle?

\\(\frac{-7}{18}\\) \\(\frac{-39}{40}\\) \\(\frac{-3}{10}\\) \\(-1\frac{1}{15}\\) \\(-1\frac{1}{3}\\) \\(\frac{9}{20}\\) \\(\frac{1}{3}\\) \\(\frac{-13}{15}\\) \\(\frac{67}{100}\\) \\(\frac{-39}{40}\\) \\(\frac{-7}{18}\\) \\(-1\frac{13}{24}\\) \\(\frac{1}{18}\\) \\(\frac{5}{12}\\) \\(-1\frac{1}{15}\\) \\(\frac{-3}{10}\\)

  1. what do you get when you cross a motorcycle with a joke book?

\\(\frac{-7}{18}\\) \\(-1\frac{1}{3}\\) \\(\frac{-7}{18}\\) \\(-1\frac{13}{24}\\) \\(\frac{-7}{18}\\) \\(\frac{17}{24}\\) \\(\frac{-7}{18}\\) \\(\frac{17}{24}\\) \\(\frac{-7}{18}\\) \\(\frac{17}{24}\\) \\(\frac{-7}{18}\\) \\(\frac{17}{24}\\) \\(\frac{-7}{18}\\)

  1. what do you get when you cross five pigs with five deer?

\\(\frac{19}{36}\\) \\(\frac{-3}{10}\\) \\(\frac{29}{48}\\) \\(\frac{9}{20}\\) \\(\frac{-13}{15}\\) \\(\frac{67}{100}\\) \\(\frac{9}{20}\\) \\(\frac{-7}{18}\\) \\(\frac{29}{48}\\) \\(\frac{1}{12}\\) \\(\frac{-17}{30}\\) \\(\frac{-1}{20}\\) \\(\frac{1}{4}\\) \\(-1\frac{5}{24}\\) \\(\frac{9}{20}\\)
to decode the answers to these three questions:
do any exercise below and find your answer in the code. each time the answer appears in the code, write the letter of that exercise above it.
keep working and you will discover what you get from each double cross!
\\(\boldsymbol{\text{i}}\\) \\(\frac{2}{3} + \frac{-1}{4} =\\)
\\(\boldsymbol{\text{e}}\\) \\(\frac{-4}{5} + \frac{1}{2} =\\)
\\(\boldsymbol{\text{k}}\\) \\(\frac{-1}{3} + \frac{-7}{8} =\\)
\\(\boldsymbol{\text{u}}\\) \\(\frac{-4}{5} + \frac{3}{4} =\\)
\\(\boldsymbol{\text{o}}\\) \\(\frac{-1}{5} + \frac{-2}{3} =\\)
\\(\boldsymbol{\text{c}}\\) \\(\frac{5}{6} + \frac{-7}{12} =\\)
\\(\boldsymbol{\text{d}}\\) \\(\frac{-3}{4} + \frac{5}{6} =\\)
\\(\boldsymbol{\text{r}}\\) \\(\frac{-9}{10} + \frac{-1}{6} =\\)
\\(\boldsymbol{\text{t}}\\) \\(\frac{-1}{4} + \frac{7}{9} =\\)
\\(\boldsymbol{\text{l}}\\) \\(\frac{11}{15} + \frac{-2}{5} =\\)
\\(\boldsymbol{\text{m}}\\) \\(\frac{-11}{12} + \frac{-5}{8} =\\)
\\(\boldsymbol{\text{n}}\\) \\(\frac{2}{3} + \frac{-1}{16} =\\)
\\(\boldsymbol{\text{p}}\\) \\(\frac{-4}{9} + \frac{1}{2} =\\)
\\(\boldsymbol{\text{y}}\\) \\(\frac{-3}{4} + \frac{-7}{12} =\\)
\\(\boldsymbol{\text{v}}\\) \\(\frac{-3}{5} + \frac{-3}{8} =\\)
\\(\boldsymbol{\text{w}}\\) \\(\frac{3}{10} + \frac{37}{100} =\\)
\\(\boldsymbol{\text{b}}\\) \\(\frac{3}{10} + \frac{-13}{15} =\\)
\\(\boldsymbol{\text{h}}\\) \\(\frac{-1}{8} + \frac{5}{6} =\\)
\\(\boldsymbol{\text{a}}\\) \\(\frac{-1}{6} + \frac{-2}{9} =\\)
\\(\boldsymbol{\text{s}}\\) \\(\frac{-1}{4} + \frac{7}{10} =\\)

Explanation:

Response

To solve these fraction addition problems, we'll find a common denominator for each pair of fractions and then add them. Let's go through each one:

Problem I: $\boldsymbol{\frac{2}{3} + \frac{-1}{4}}$
  • Find a common denominator (12) and convert the fractions:
  • $\frac{2}{3} = \frac{8}{12}$
  • $\frac{-1}{4} = \frac{-3}{12}$
  • Add the numerators: $\frac{8}{12} + \frac{-3}{12} = \frac{5}{12}$
Problem E: $\boldsymbol{\frac{-4}{5} + \frac{1}{2}}$
  • Common denominator (10):
  • $\frac{-4}{5} = \frac{-8}{10}$
  • $\frac{1}{2} = \frac{5}{10}$
  • Add: $\frac{-8}{10} + \frac{5}{10} = \frac{-3}{10}$
Problem K: $\boldsymbol{\frac{-1}{3} + \frac{-7}{8}}$
  • Common denominator (24):
  • $\frac{-1}{3} = \frac{-8}{24}$
  • $\frac{-7}{8} = \frac{-21}{24}$
  • Add: $\frac{-8}{24} + \frac{-21}{24} = \frac{-29}{24} = -1\frac{5}{24}$
Problem U: $\boldsymbol{\frac{-4}{5} + \frac{3}{4}}$
  • Common denominator (20):
  • $\frac{-4}{5} = \frac{-16}{20}$
  • $\frac{3}{4} = \frac{15}{20}$
  • Add: $\frac{-16}{20} + \frac{15}{20} = \frac{-1}{20}$ (Wait, let's check again. Wait, $\frac{-4}{5} = \frac{-16}{20}$, $\frac{3}{4} = \frac{15}{20}$. So $-16 + 15 = -1$, so $\frac{-1}{20}$. Wait, but maybe I made a mistake? Wait, no, that's correct.)

Wait, maybe I should redo some. Let's take Problem R: $\boldsymbol{\frac{-9}{10} + \frac{-1}{6}}$

  • Common denominator (30):
  • $\frac{-9}{10} = \frac{-27}{30}$
  • $\frac{-1}{6} = \frac{-5}{30}$
  • Add: $\frac{-27}{30} + \frac{-5}{30} = \frac{-32}{30} = \frac{-16}{15} = -1\frac{1}{15}$
Problem Y: $\boldsymbol{\frac{-3}{4} + \frac{-7}{12}}$
  • Common denominator (12):
  • $\frac{-3}{4} = \frac{-9}{12}$
  • $\frac{-7}{12} = \frac{-7}{12}$
  • Add: $\frac{-9}{12} + \frac{-7}{12} = \frac{-16}{12} = \frac{-4}{3} = -1\frac{1}{3}$
Problem T: $\boldsymbol{\frac{-1}{4} + \frac{7}{9}}$
  • Common denominator (36):
  • $\frac{-1}{4} = \frac{-9}{36}$
  • $\frac{7}{9} = \frac{28}{36}$
  • Add: $\frac{-9}{36} + \frac{28}{36} = \frac{19}{36}$
Problem V: $\boldsymbol{\frac{-3}{5} + \frac{-3}{8}}$
  • Common denominator (40):
  • $\frac{-3}{5} = \frac{-24}{40}$
  • $\frac{-3}{8} = \frac{-15}{40}$
  • Add: $\frac{-24}{40} + \frac{-15}{40} = \frac{-39}{40}$
Problem L: $\boldsymbol{\frac{11}{15} + \frac{-2}{5}}$
  • Common denominator (15):
  • $\frac{-2}{5} = \frac{-6}{15}$
  • Add: $\frac{11}{15} + \frac{-6}{15} = \frac{5}{15} = \frac{1}{3}$
Problem W: $\boldsymbol{\frac{3}{10} + \frac{37}{100}}$
  • Common denominator (100):
  • $\frac{3}{10} = \frac{30}{100}$
  • Add: $\frac{30}{100} + \frac{37}{100} = \frac{67}{100}$
Problem M: $\boldsymbol{\frac{-11}{12} + \frac{-5}{8}}$
  • Common denominator (24):
  • $\frac{-11}{12} = \frac{-22}{24}$
  • $\frac{-5}{8} = \frac{-15}{24}$
  • Add: $\frac{-22}{24} + \frac{-15}{24} = \frac{-37}{24} = -1\frac{13}{24}$
Problem B: $\boldsymbol{\frac{3}{10} + \frac{-13}{15}}$
  • Common denominator (30):
  • $\frac{3}{10} = \frac{9}{30}$
  • $\frac{-13}{15} = \frac{-26}{30}$
  • Add: $\frac{9}{30} + \frac{-26}{30} = \frac{-17}{30}$
Problem O: $\boldsymbol{\frac{-1}{5} + \frac{-2}{3}}$
  • Common denominator (15):
  • $\frac{-1}{5} = \frac{-3}{15}$
  • $\frac{-2}{3} = \frac{-10}{15}$
  • Add: $\frac{-3}{15} + \frac{-10}{15} = \frac{-13}{15}$
Problem N: $\boldsymbol{\frac{2}{3} + \frac{-1}{16}}$
  • Common denominator (48):
  • $\frac{2}{3} = \frac{32}{48}$
  • $\frac{-1}{16} = \frac{-3}{48}$
  • Add: $\frac{32}{48} + \frac{-3}{48} = \frac{29}{48}$
Problem H: $\boldsymbol{\frac{-1}{8} + \frac{5}{6}}$
  • Common denominator (24):
  • $\frac{-1}{8} = \frac{-3}{24}$
  • $\frac{5}{6} = \…

Answer:

To solve these fraction addition problems, we'll find a common denominator for each pair of fractions and then add them. Let's go through each one:

Problem I: $\boldsymbol{\frac{2}{3} + \frac{-1}{4}}$
  • Find a common denominator (12) and convert the fractions:
  • $\frac{2}{3} = \frac{8}{12}$
  • $\frac{-1}{4} = \frac{-3}{12}$
  • Add the numerators: $\frac{8}{12} + \frac{-3}{12} = \frac{5}{12}$
Problem E: $\boldsymbol{\frac{-4}{5} + \frac{1}{2}}$
  • Common denominator (10):
  • $\frac{-4}{5} = \frac{-8}{10}$
  • $\frac{1}{2} = \frac{5}{10}$
  • Add: $\frac{-8}{10} + \frac{5}{10} = \frac{-3}{10}$
Problem K: $\boldsymbol{\frac{-1}{3} + \frac{-7}{8}}$
  • Common denominator (24):
  • $\frac{-1}{3} = \frac{-8}{24}$
  • $\frac{-7}{8} = \frac{-21}{24}$
  • Add: $\frac{-8}{24} + \frac{-21}{24} = \frac{-29}{24} = -1\frac{5}{24}$
Problem U: $\boldsymbol{\frac{-4}{5} + \frac{3}{4}}$
  • Common denominator (20):
  • $\frac{-4}{5} = \frac{-16}{20}$
  • $\frac{3}{4} = \frac{15}{20}$
  • Add: $\frac{-16}{20} + \frac{15}{20} = \frac{-1}{20}$ (Wait, let's check again. Wait, $\frac{-4}{5} = \frac{-16}{20}$, $\frac{3}{4} = \frac{15}{20}$. So $-16 + 15 = -1$, so $\frac{-1}{20}$. Wait, but maybe I made a mistake? Wait, no, that's correct.)

Wait, maybe I should redo some. Let's take Problem R: $\boldsymbol{\frac{-9}{10} + \frac{-1}{6}}$

  • Common denominator (30):
  • $\frac{-9}{10} = \frac{-27}{30}$
  • $\frac{-1}{6} = \frac{-5}{30}$
  • Add: $\frac{-27}{30} + \frac{-5}{30} = \frac{-32}{30} = \frac{-16}{15} = -1\frac{1}{15}$
Problem Y: $\boldsymbol{\frac{-3}{4} + \frac{-7}{12}}$
  • Common denominator (12):
  • $\frac{-3}{4} = \frac{-9}{12}$
  • $\frac{-7}{12} = \frac{-7}{12}$
  • Add: $\frac{-9}{12} + \frac{-7}{12} = \frac{-16}{12} = \frac{-4}{3} = -1\frac{1}{3}$
Problem T: $\boldsymbol{\frac{-1}{4} + \frac{7}{9}}$
  • Common denominator (36):
  • $\frac{-1}{4} = \frac{-9}{36}$
  • $\frac{7}{9} = \frac{28}{36}$
  • Add: $\frac{-9}{36} + \frac{28}{36} = \frac{19}{36}$
Problem V: $\boldsymbol{\frac{-3}{5} + \frac{-3}{8}}$
  • Common denominator (40):
  • $\frac{-3}{5} = \frac{-24}{40}$
  • $\frac{-3}{8} = \frac{-15}{40}$
  • Add: $\frac{-24}{40} + \frac{-15}{40} = \frac{-39}{40}$
Problem L: $\boldsymbol{\frac{11}{15} + \frac{-2}{5}}$
  • Common denominator (15):
  • $\frac{-2}{5} = \frac{-6}{15}$
  • Add: $\frac{11}{15} + \frac{-6}{15} = \frac{5}{15} = \frac{1}{3}$
Problem W: $\boldsymbol{\frac{3}{10} + \frac{37}{100}}$
  • Common denominator (100):
  • $\frac{3}{10} = \frac{30}{100}$
  • Add: $\frac{30}{100} + \frac{37}{100} = \frac{67}{100}$
Problem M: $\boldsymbol{\frac{-11}{12} + \frac{-5}{8}}$
  • Common denominator (24):
  • $\frac{-11}{12} = \frac{-22}{24}$
  • $\frac{-5}{8} = \frac{-15}{24}$
  • Add: $\frac{-22}{24} + \frac{-15}{24} = \frac{-37}{24} = -1\frac{13}{24}$
Problem B: $\boldsymbol{\frac{3}{10} + \frac{-13}{15}}$
  • Common denominator (30):
  • $\frac{3}{10} = \frac{9}{30}$
  • $\frac{-13}{15} = \frac{-26}{30}$
  • Add: $\frac{9}{30} + \frac{-26}{30} = \frac{-17}{30}$
Problem O: $\boldsymbol{\frac{-1}{5} + \frac{-2}{3}}$
  • Common denominator (15):
  • $\frac{-1}{5} = \frac{-3}{15}$
  • $\frac{-2}{3} = \frac{-10}{15}$
  • Add: $\frac{-3}{15} + \frac{-10}{15} = \frac{-13}{15}$
Problem N: $\boldsymbol{\frac{2}{3} + \frac{-1}{16}}$
  • Common denominator (48):
  • $\frac{2}{3} = \frac{32}{48}$
  • $\frac{-1}{16} = \frac{-3}{48}$
  • Add: $\frac{32}{48} + \frac{-3}{48} = \frac{29}{48}$
Problem H: $\boldsymbol{\frac{-1}{8} + \frac{5}{6}}$
  • Common denominator (24):
  • $\frac{-1}{8} = \frac{-3}{24}$
  • $\frac{5}{6} = \frac{20}{24}$
  • Add: $\frac{-3}{24} + \frac{20}{24} = \frac{17}{24}$
Problem C: $\boldsymbol{\frac{5}{6} + \frac{-7}{12}}$
  • Common denominator (12):
  • $\frac{5}{6} = \frac{10}{12}$
  • Add: $\frac{10}{12} + \frac{-7}{12} = \frac{3}{12} = \frac{1}{4}$
Problem P: $\boldsymbol{\frac{-4}{9} + \frac{1}{2}}$
  • Common denominator (18):
  • $\frac{-4}{9} = \frac{-8}{18}$
  • $\frac{1}{2} = \frac{9}{18}$
  • Add: $\frac{-8}{18} + \frac{9}{18} = \frac{1}{18}$
Problem A: $\boldsymbol{\frac{-1}{6} + \frac{-2}{9}}$
  • Common denominator (18):
  • $\frac{-1}{6} = \frac{-3}{18}$
  • $\frac{-2}{9} = \frac{-4}{18}$
  • Add: $\frac{-3}{18} + \frac{-4}{18} = \frac{-7}{18}$
Problem S: $\boldsymbol{\frac{-1}{4} + \frac{7}{10}}$
  • Common denominator (20):
  • $\frac{-1}{4} = \frac{-5}{20}$
  • $\frac{7}{10} = \frac{14}{20}$
  • Add: $\frac{-5}{20} + \frac{14}{20} = \frac{9}{20}$

Now, let's list the results with their letters:

  • I: $\frac{5}{12}$
  • E: $\frac{-3}{10}$
  • K: $-1\frac{5}{24}$
  • U: $\frac{-1}{20}$ (Wait, maybe I miscalculated U. Let's check again: $\frac{-4}{5} + \frac{3}{4} = \frac{-16}{20} + \frac{15}{20} = \frac{-1}{20}$. Correct.)
  • Y: $\frac{-4}{3} = -1\frac{1}{3}$
  • T: $\frac{19}{36}$
  • V: $\frac{-39}{40}$
  • L: $\frac{1}{3}$
  • W: $\frac{67}{100}$
  • M: $-1\frac{13}{24}$
  • B: $\frac{-17}{30}$
  • O: $\frac{-13}{15}$
  • N: $\frac{29}{48}$
  • H: $\frac{17}{24}$
  • C: $\frac{1}{4}$
  • P: $\frac{1}{18}$
  • A: $\frac{-7}{18}$
  • S: $\frac{9}{20}$

Now, let's match these results to the codes above each joke:

Joke 1: "What do you get when you cross a vampire with a turtle?"

The fractions here are: $\frac{-7}{18}, \frac{-39}{40}, \frac{-3}{10}, -1\frac{1}{15}, -1\frac{1}{3}, \frac{9}{20}, \frac{1}{3}, \frac{-13}{15}, \frac{67}{100}, \frac{-39}{40}, \frac{-7}{18}, -1\frac{13}{24}, \frac{1}{18}, \frac{5}{12}, -1\frac{1}{15}, \frac{-3}{10}$

Let's match each fraction to the problem result:

  • $\frac{-7}{18}$: A (A: $\frac{-7}{18}$)
  • $\frac{-39}{40}$: V (V: $\frac{-39}{40}$)
  • $\frac{-3}{10}$: E (E: $\frac{-3}{10}$)
  • $-1\frac{1}{15}$: (Wait, our results: Y: $-1\frac{1}{3}$, O: $\frac{-13}{15}$, no. Wait, maybe I missed a problem. Wait, Problem Y: $\frac{-3}{4} + \frac{-7}{12} = \frac{-9}{12} + \frac{-7}{12} = \frac{-16}{12} = \frac{-4}{3} = -1\frac{1}{3}$. So $-1\frac{1}{3}$ is Y. Then $-1\frac{1}{15}$: let's check Problem B: $\frac{3}{10} + \frac{-13}{15} = \frac{9}{30} + \frac{-26}{30} = \frac{-17}{30}$. No. Wait, maybe I made a mistake in Problem Y. Wait, Problem Y is $\frac{-3}{4} + \frac{-7}{12}$. Let's recalculate:

$\frac{-3}{4} = \frac{-9}{12}$, $\frac{-7}{12} = \frac{-7}{12}$. So $\frac{-9}{12} + \frac{-7}{12} = \frac{-16}{12} = \frac{-4}{3} = -1\frac{1}{3}$. Correct. So $-1\frac{1}{3}$ is Y. Then $-1\frac{1}{15}$: let's check Problem B: no. Wait, maybe Problem O: $\frac{-1}{5} + \frac{-2}{3} = \frac{-3}{15} + \frac{-10}{15} = \frac{-13}{15}$. No. Wait, maybe I missed a problem. Wait, Problem R: $\frac{-9}{10} + \frac{-1}{6} = \frac{-27}{30} + \frac{-5}{30} = \frac{-32}{30} = \frac{-16}{15} = -1\frac{1}{15}$. Ah! I forgot Problem R. Let's do Problem R:

Problem R: $\boldsymbol{\frac{-9}{10} + \frac{-1}{6}}$
  • Common denominator (30):
  • $\frac{-9}{10} = \frac{-27}{30}$
  • $\frac{-1}{6} = \frac{-5}{30}$
  • Add: $\frac{-27}{30} + \frac{-5}{30} = \frac{-32}{30} = \frac{-16}{15} = -1\frac{1}{15}$

There we go! So Problem R: $-1\frac{1}{15}$.

So now, let's redo the matching for Joke 1:

  • $\frac{-7}{18}$: A (A: $\frac{-7}{18}$)
  • $\frac{-39}{40}$: V (V: $\frac{-39}{40}$)
  • $\frac{-3}{10}$: E (E: $\frac{-3}{10}$)
  • $-1\frac{1}{15}$: R (R: $-1\frac{1}{15}$)
  • $-1\frac{1}{3}$: Y (Y: $-1\frac{1}{3}$)
  • $\frac{9}{20}$: S (S: $\frac{9}{20}$)
  • $\frac{1}{3}$: L (L: $\frac{1}{3}$)
  • $\frac{-13}{15}$: O (O: $\frac{-13}{15}$)
  • $\frac{67}{100}$: W (W: $\frac{67}{100}$)
  • $\frac{-39}{40}$: V (V: $\frac{-39}{40}$)
  • $\frac{-7}{18}$: A (A: $\frac{-7}{18}$)
  • $-1\frac{13}{24}$: M (M: $-1\frac{13}{24}$)
  • $\frac{1}{18}$: P (P: $\frac{1}{18}$)
  • $\frac{5}{12}$: I (I: $\frac{5}{12}$)
  • $-1\frac{1}{15}$: R (R: $-1\frac{1}{15}$)
  • $\frac{-3}{10}$: E (E: $\frac{-3}{10}$)

Now, writing the letters above each fraction:

  • $\frac{-7}{18}$: A
  • $\frac{-39}{40}$: V
  • $\frac{-3}{10}$: E
  • $-1\frac{1}{15}$: R
  • $-1\frac{1}{3}$: Y
  • $\frac{9}{20}$: S
  • $\frac{1}{3}$: L
  • $\frac{-13}{15}$: O
  • $\frac{67}{100}$: W
  • $\frac{-39}{40}$: V
  • $\frac{-7}{18}$: A
  • $-1\frac{13}{24}$: M
  • $\frac{1}{18}$: P
  • $\frac{5}{12}$: I
  • $-1\frac{1}{15}$: R
  • $\frac{-3}{10}$: E

Putting these letters together: A V E R Y S L O W V A M P I R E

Wait, let's check:

  1. A
  2. V
  3. E
  4. R
  5. Y
  6. S
  7. L
  8. O
  9. W
  10. V
  11. A
  12. M
  13. P
  14. I
  15. R
  16. E

Wait, that's "A VERY SLOW VAMPIRE"? Wait, "A VERY SLOW VAMPIRE"? Wait, maybe I made a mistake in the order. Let's list the fractions in order and their letters:

  1. $\frac{-7}{18}$: A

2.