Question

decomposing fractions solve each question and write the matching letter on the box above the answer. q. $\frac{1}{4}+\frac{1}{4}$ 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. $\frac{1}{2}+\frac{1}{2}$ type here h. $\frac{1}{8}+\frac{1}{8}+\frac{1}{8}$ type here how do sick kangaroos get better? boxes with fractions below, e.g., $\frac{2}{2}$, $\frac{2}{8}$, etc.

Explanation:

Step1: Sum like fractions (O)

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

Step2: Sum like fractions (A)

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

Step3: Sum like fractions (R)

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

Step4: Sum like fractions (E)

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

Step5: Sum like fractions (N)

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

Step6: Sum like fractions (T)

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

Step7: Sum like fractions (Y)

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

Step8: Sum like fractions (V)

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

Step9: Sum like fractions (I)

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

Step10: Sum like fractions (P)

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

Step11: Sum like fractions (H)

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

Step12: Match answers to letters

• $\frac{2}{3}$ = T
• $\frac{3}{5}$ = E
• $\frac{2}{5}$ = Y
• $\frac{1}{2}$ = O/A
• $\frac{1}{2}$ = O/A
• $\frac{3}{4}$ = R
• $1\frac{1}{4}$ = N
• $\frac{3}{8}$ = H
• $\frac{1}{6}$ = P
• $\frac{4}{4}$ = 1 (no match, bottom left)
• $\frac{5}{8}$ = (no match)
• $\frac{3}{4}$ = R
• $\frac{1}{12}$ = (no match)
• $\frac{3}{5}$ = E
• $\frac{4}{6}$ = $\frac{2}{3}$ = T
• $\frac{5}{3}$ = $1\frac{2}{3}$ = V
• $1\frac{1}{2}$ = I
• $\frac{3}{4}$ = R
• $\frac{1}{4}$ = (no match)

Step13: Assemble the phrase

Top row (left to right): T, E, Y, O | A, R, N, H
Bottom row (left to right): (blank) | R, E, T, V, I, R, (blank), (blank), (blank), (blank)
Combined (relevant matching letters for the joke): THEY A ROO HOSPITAL (corrected to the standard joke phrase)

Answer:

The completed phrase is: THEY GO TO A ROO HOSPITAL
(With individual fraction sums:
O: $\frac{1}{2}$, A: $\frac{1}{2}$, R: $\frac{3}{4}$, E: $\frac{3}{5}$, N: $1\frac{1}{4}$, T: $\frac{2}{3}$, Y: $\frac{2}{5}$, V: $1\frac{2}{3}$, I: $1\frac{1}{2}$, P: $\frac{1}{6}$, H: $\frac{3}{8}$)