All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 7 Lesson 5 Multiplying a Fraction by a Fraction are as per the latest syllabus guidelines.
McGraw-Hill Math Grade 5 Answer Key Chapter 7 Lesson 5 Multiplying a Fraction by a Fraction
Solve
Find the product. Use any model you want to help solve each problem.
Question 1.
\(\frac{1}{4}\) × \(\frac{1}{8}\) _____________
Answer:
\(\frac{1}{32}\)
Question 2.
\(\frac{1}{6}\) × \(\frac{1}{2}\) _____________
Answer:
(1/12
Explanation:
(1/6) × (1/2) = (1/12)
Question 3.
\(\frac{1}{2}\) × \(\frac{1}{2}\) _____________
Answer:
(1/4)
Explanation:
(1/2) × (1/2) = (1/4)
Question 4.
\(\frac{1}{2}\) × \(\frac{2}{3}\) _____________
Answer:
(1/3)
Explanation:
(1/2) × (2/3) =(1/3)
Question 5.
\(\frac{1}{3}\) × \(\frac{3}{4}\) _____________
Answer:
(1/4)
Explanation:
(1/3) × (3/4) = (1/4)
Question 6.
\(\frac{1}{4}\) × \(\frac{4}{5}\) _____________
Answer:
(1/5)
Explanation:
(1/4) × (4/5) = (1/5)
Question 7.
\(\frac{2}{3}\) × \(\frac{1}{3}\) _____________
Answer:
(2/9)
Explanation:
(2/3) × (1/3) = (2/9)
Question 8.
\(\frac{3}{5}\) × \(\frac{1}{5}\) _____________
Answer:
(3/25)
Explanation:
(3/5) × (1/5) = (3/25)
Question 9.
\(\frac{3}{4}\) × \(\frac{4}{5}\) _____________
Answer:
(3/5)
Explanation:
(3/4) × (4/5) = (3/5)
Multiply.
Question 10.
\(\frac{5}{12}\) × \(\frac{2}{3}\) = _____________
Answer:
(5/18)
Explanation:
(5/12) × (2/3) = (5/18)
Question 11.
\(\frac{2}{15}\) × \(\frac{3}{5}\) = _____________
Answer:
(2/25)
Explanation:
(2/15) × (3/5) = (2/25)
Question 12.
\(\frac{3}{8}\) × \(\frac{3}{8}\) = _____________
Answer:
(9/64)
Explanation:
(3/8) × (3/8) = (9/64)
Question 13.
\(\frac{4}{5}\) × \(\frac{4}{5}\) = _____________
Answer: (16/25)
Explanation:
(4/5) × (4/5) = (16/25)
Question 14.
\(\frac{5}{6}\) × \(\frac{2}{3}\) = _____________
Answer:
(5/9)
Explanation:
(5/6) × (2/3) = (5/9)
Question 15.
\(\frac{5}{12}\) × \(\frac{3}{4}\) = _____________
Answer:
(5/16)
Explanation:
(5/12) × (3/4) = (5/16)
Question 16.
\(\frac{2}{7}\) × \(\frac{7}{12}\) = _____________
Answer:
(1/6)
Explanation:
(2/7) × (7/12) = (1/6)
Question 17.
\(\frac{3}{10}\) × \(\frac{1}{5}\) = _____________
Answer:
(3/50)
Explanation:
(3/10) × (1/5) = (3/50)
Question 18.
\(\frac{3}{11}\) × \(\frac{1}{4}\) = _____________
Answer:
(3/44)
Explanation:
(3/11) × (1/4) = (3/44)
Question 19.
\(\frac{3}{10}\) × \(\frac{1}{4}\) = _____________
Answer: \(\frac{3}{40}\)
Explanation:
(3/10) × (1/4) = (3/40)
Question 20.
\(\frac{3}{8}\) × \(\frac{1}{4}\) = _____________
Answer:
(3/32)
Explanation:
(3/8) × (1/4) = (3/32)
Question 21.
\(\frac{3}{5}\) × \(\frac{1}{4}\) = _____________
Answer:
(3/20)
Explanation:
(3/5) × (1/4) = (3/20)
Solve. Use any model you want to help you solve.
Question 22.
Ed used \(\frac{4}{5}\) of a box of floor tiles. Two-thirds of the tiles he used are green. What fraction of the tiles is green?
Answer:
(8/15)
Explanation:
Number of tiles = (4/5) of the total titles
Number of green tiles = (2/3)rd of the tiles
= (2/3) × (4/5)
= (8/15)
Question 23.
Marge replaces \(\frac{2}{3}\) of the water pipes in her home. Three-eighths of the pipe she uses is copper. What fraction of the pipe is copper?
Answer:
(1/4)
Explanation:
Number of water pipes Marge used in her home = (2/3)
Copper pipes she used = (3/8)th of the total pipes
= (3/8) × (2/3)
= (1/4)
Question 24.
One-half the wood trim in a dining room is oak. Five-sixths of the oak trim is recycled wood. What fraction of the wood trim is recycled?
Answer:
(5/12)
Explanation:
Wood trim in a dining room = 1/2
Recycled wood = (5/6) of the wood trim
= (5/6) × (1/2)
= (5/12)
Question 25.
Max used \(\frac{3}{8}\) of a roll of painter’s tape on the first floor of the house. About \(\frac{1}{4}\) of that tape was used in the kitchen. How much of the tape was used in the kitchen?
Answer:
(3/32)
Explanation:
Number of roll of painter’s tape = (3/8)
Tape used in the kitchen = (1/4) of the tape of painter’s tape
= (1/4) × (3/8)
= (3/32)
Question 26.
Kyle sketched this drawing on a piece of paper. What multiplication problem was he trying to model?
Answer:
(1/15)
Explanation:
(1/5) × (1/3) =(1/15)