Question

decomposing fractions
solve each question and write the matching letter on the box above the answer.
o. $\frac{1}{4} + \frac{1}{4}$ = type here
a. $\frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6}$ = type here
r. $\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$ = type here
e. $\frac{1}{5} + \frac{1}{5} + \frac{1}{5}$ = type here
n. $\frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4}$ = type here
t. $\frac{1}{3} + \frac{1}{3}$ = type here
y. $\frac{1}{5} + \frac{1}{5}$ = type here
v. $\frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3}$ = type here
i. $\frac{1}{2} + \frac{1}{2} + \frac{1}{2}$ = type here
p. $\frac{1}{12} + \frac{1}{12}$ = type here
h. $\frac{1}{8} + \frac{1}{8} + \frac{1}{8}$ = type here
how do sick kangaroos get better?
? ? ? ? ? ? ? ?
$\frac{2}{3}$ $\frac{3}{8}$ $\frac{3}{6}$ $\frac{2}{5}$ $\frac{3}{8}$ $\frac{4}{8}$ $1\frac{2}{3}$ $\frac{3}{5}$
?
$\frac{14}{6}$ ? ? ? ? ? ? ? ? ? ?
$\frac{3}{8}$ $\frac{2}{4}$ $\frac{2}{12}$ $\frac{3}{5}$ $\frac{3}{4}$ $\frac{4}{6}$ $\frac{2}{3}$ $1\frac{1}{2}$ $\frac{2}{4}$ $1\frac{1}{4}$

Explanation:

Step1: Sum like fractions (R)

$\frac{1}{4}+\frac{1}{4}+\frac{1}{4} = \frac{3}{4}$

Step2: Sum like fractions (T)

$\frac{1}{3}+\frac{1}{3} = \frac{2}{3}$

Step3: Sum like fractions (I)

$\frac{1}{2}+\frac{1}{2}+\frac{1}{2} = \frac{3}{2} = 1\frac{1}{2}$

Step4: Sum like fractions (O)

$\frac{1}{4}+\frac{1}{4} = \frac{2}{4} = \frac{1}{2}$

Step5: Sum like fractions (E)

$\frac{1}{5}+\frac{1}{5}+\frac{1}{5} = \frac{3}{5}$

Step6: Sum like fractions (Y)

$\frac{1}{5}+\frac{1}{5} = \frac{2}{5}$

Step7: Sum like fractions (P)

$\frac{1}{12}+\frac{1}{12} = \frac{2}{12} = \frac{1}{6}$

Step8: Sum like fractions (A)

$\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8} = \frac{4}{8} = \frac{1}{2}$

Step9: Sum like fractions (N)

$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4} = \frac{5}{4} = 1\frac{1}{4}$

Step10: Sum like fractions (V)

$\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3} = \frac{5}{3} = 1\frac{2}{3}$

Step11: Sum like fractions (H)

$\frac{1}{8}+\frac{1}{8}+\frac{1}{8} = \frac{3}{8}$

Answer:

First, map each result to its letter:

• $\frac{2}{3}$ = T
• $\frac{3}{8}$ = H
• $\frac{3}{5}$ = E
• $\frac{2}{5}$ = Y
• $\frac{3}{8}$ = H
• $\frac{4}{8}=\frac{1}{2}$ = O/A
• $1\frac{2}{3}$ = V
• $\frac{3}{5}$ = E
• $\frac{4}{8}=\frac{1}{2}$ = O/A
• $\frac{3}{4}$ = R
• $\frac{1}{2}$ = O/A
• $\frac{2}{12}=\frac{1}{6}$ = P
• $\frac{2}{5}$ = Y
• $\frac{3}{4}$ = R
• $\frac{4}{8}=\frac{1}{2}$ = O/A
• $\frac{2}{3}$ = T
• $1\frac{1}{2}$ = I
• $\frac{2}{4}=\frac{1}{2}$ = O/A
• $1\frac{1}{4}$ = N

Filling in the boxes by matching results to letters gives the phrase: THEY HOP BACK TO HEALTH