Question

adding and subtracting fractions mixed review
do each exercise and find your answer in one of the answer columns.
notice the word next to the answer. write this word in the box
containing the letter of the exercise.
did you hear about...
a b c d e f g h
j k l m n o p q
1 5/24 instruments (a) 1/4×5 = 5/20 (b) 5/6×3 = 15/18 (c) 9/10 (d) 2/3
3/24 brush + 3/5×4 = 12/20 - 4/9×2 = 8/18 + 1/2 - 5/12 1 3/8 toothpaste
111/1,000 new 17/20 23/18
19/30 because
3/4 a
17/20 the (e) 3/8 + 9/16 (f) 7/10 - 1/5 (g) 1/3 + 7/8 (h) 3/4 - 1/10
1 5/8 never
13/20 have
1/2 musical (i) 1/2 + 2/7 (j) 4/5 - 1/6 (k) 9/16 + 15/16 (l) 7/10 - 8/15
1 1/8 bought
13/14 ears
1/4 thought
(m) (7/8 - 1/4) + 1/2 (n) 19/20 - (1/2 - 3/10) (o) 1/10 + 1/100 + 1/1,000
(p) a bigburger has 1/4 pound of meat. a superburger has 1/3 pound of meat.
how much more meat is used for the superburger? ____ lb
(q) kent walked 3/4 of a mile on monday. on tuesday, he walked 1/8 of a mile less
than on monday. how far did he walk altogether? ____ mi

Explanation:

Step1: Solve problem P

Find the difference between the meat - amounts of the two burgers. We need to calculate $\frac{1}{3}-\frac{1}{4}$. First, find a common denominator, which is 12. Rewrite the fractions: $\frac{1}{3}=\frac{4}{12}$ and $\frac{1}{4}=\frac{3}{12}$. Then $\frac{4}{12}-\frac{3}{12}=\frac{4 - 3}{12}=\frac{1}{12}$.

Step2: Solve problem Q

First, find out how far Kent walked on Tuesday. He walked $\frac{3}{4}-\frac{1}{8}$ miles on Tuesday. The common denominator of 4 and 8 is 8. Rewrite $\frac{3}{4}$ as $\frac{6}{8}$. So, he walked $\frac{6}{8}-\frac{1}{8}=\frac{5}{8}$ miles on Tuesday. Then, find the total distance he walked in two days. Add the distance walked on Monday and Tuesday: $\frac{3}{4}+\frac{5}{8}$. The common denominator is 8, rewrite $\frac{3}{4}$ as $\frac{6}{8}$. Then $\frac{6}{8}+\frac{5}{8}=\frac{6 + 5}{8}=\frac{11}{8}$ miles.

Answer:

• P: $\frac{1}{12}$
• Q: $\frac{11}{8}$