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McGraw-Hill Math Grade 3 Answer Key Chapter 8 Lesson 11 Problem Solving
Solve
Write answers to the questions. Use fraction strips to help.
Question 1.
Deb eats \(\frac{1}{2}\) of her pear. John’s pear is cut into sixths. How many pieces must John eat to equal the amount that Debate?
Answer:
Given,
Deb eats \(\frac{1}{2}\) of her pear.
John’s pear is cut into sixths.
\(\frac{1}{2}\) × 6 = 3
John must eat 3 pieces
Question 2.
Josh and Jennifer are writing poems that are the same length. Josh has written \(\frac{2}{8}\) of his poem. Jennifer has written \(\frac{2}{3}\) of her poem. Who has written more? Explain using the fractions and <, >, or = in your answer.
Answer:
Given,
Josh and Jennifer are writing poems that are the same length.
Josh has written \(\frac{2}{8}\) of his poem.
Jennifer has written \(\frac{2}{3}\) of her poem
The numerator of both the fractions are the same but the denominators are different.
LCM of 3 and 8 is 24.
\(\frac{2}{8}\) × \(\frac{3}{3}\) = \(\frac{6}{24}\)
\(\frac{2}{3}\) × \(\frac{8}{8}\) = \(\frac{16}{24}\)
\(\frac{6}{24}\) < \(\frac{16}{24}\)
That means Jennifer written more than Josh.