We included **HMH Into Math Grade 3 Answer Key PDF** **Module 15 Lesson 2 Compare Fractions with the Same Denominator **to make students experts in learning maths.

## HMH Into Math Grade 3 Module 15 Lesson 2 Answer Key Compare Fractions with the Same Denominator

I Can compare fractions that are divided into an equal number of same-sized parts.

**Spark Your Learning**

Ulan and Hector both like to read. Ulan has finished \(\frac{3}{8}\) of her book. Hector has finished \(\frac{5}{8}\) of the same book. Who has read more of the book?

Show how you can tell who has read more of the book.

Answer:

Explanation:

Ulan and Hector both like to read. Ulan has finished \(\frac{3}{8}\) of her book

Hector has finished \(\frac{5}{8}\) of the same book

As the denominator is same compare the numerators

3 < 5

So, Hector has read more of the book.

**Turn and Talk** Jory has finished \(\frac{4}{8}\) of the same book. How does her reading compare with that of Ulan and of Hector?

Answer:

If Joy finishes \(\frac{4}{8}\), 4 is greater than 3 and less than 5

So, he read the book more than Ulan and less than Hector.

**Build Understanding**

Question 1.

Both Rennie and Leah paint same-sized patios that are divided into 6 equal sections. Rennie paints \(\frac{3}{6}\) of his patio floor orange. Leah paints \(\frac{4}{6}\) of her patio floor pink. Who paints less area?

A. How can you represent the areas that Rennie and Leah paint?

Answer:

B. Who paints less area of the patio? How do you know?

Answer:

Rennie paints less area of the paito

Explanation:

As the denominators are same compare the numerators

3 < 4

So, Rennie painted less area of the paito.

C. Write <, > or =. \(\frac{3}{6}\) \(\frac{4}{6}\).

Answer:

\(\frac{3}{6}\) \(\frac{4}{6}\).

Question 2.

Ellen’s desk is \(\frac{7}{4}\) yards from the wall. Ethan’s desk is \(\frac{3}{4}\) yard from the wall.

A. How can you show each distance using fraction strips and a number line?

Answer:

Explanation:

I shaded to show the fractions of Ellan and Ethan on the fraction strips and on the number line.

B. Whose desk is farther from the wall? How do you know?

\(\frac{7}{4}\) \(\frac{3}{4}\)

Answer:

\(\frac{7}{4}\) \(\frac{3}{4}\)

Explanation:

\(\frac{7}{4}\) \(\frac{3}{4}\)

7 > 3 So, Ellen’s desk is far from the wall.

**Turn and Talk** What is a quick way to find out which fraction is greater if both fractions have the same denominator?

Answer:

As the denominators are same we need to compare the numerators

7 > 3

So, We can say easily that Ellan’s desk is far from the wall.

**Step It Out**

Question 3.

Len uses \(\frac{5}{8}\) of a wooden board to make a roof for a tree house. Raylette uses \(\frac{7}{8}\) of a same-sized board to make a chair. Who uses more of their board? Show where Len and Raylette cut their boards.

A. When equal-sized wholes are divided into the same number of equal parts, the denominators are the same. You can then look at the ____________ to compare the number of parts being counted.

Answer:

Explanation:

I shaded the number of parts of wooden board that both used to make thing.

When equal-sized wholes are divided into the same number of equal parts, the denominators are the same. You can then look at the numerators to compare the number of parts being counted.

B. Each whole board has _________ equal parts.

Compare the numerators. ________ parts are more than parts. ________ > ________, so,

Answer:

Each whole board has 8 equal parts.

Compare the numerators. 7 parts are more than 5 parts. 7 > 5, so,

C. Who uses more of their board?

Answer:

Raylette uses \(\frac{7}{8}\) of a same-sized board to make a chair

As 7 > 5 Raylette used more of his board.

D. To compare fractions with the same denominator, how do the numerators tell you which fraction is greater?

Answer:

In the fractions with same denominator, the numerators tells us that the fraction with big number in the numerator is greater.

**Turn and Talk** Use a visual model to justify how you made your comparisons.

Answer:

Explanation:

I shaded the parts of wooden board they used for making things

So, we can say that

Therefore, i shown my answer in the form of pictures.

**Check Understanding**

Question 1.

On Tuesday, it rains \(\frac{3}{4}\) inch. On Wednesday, it rains \(\frac{2}{4}\) inch. On which day is there more rain? Draw a visual model to justify your answer.

Answer:

Explanation:

I drew a visual model for the problem

On Tuesday, it rains \(\frac{3}{4}\) inch. On Wednesday, it rains \(\frac{2}{4}\) inch

As the denominators in the fractions are equal, compare the numerators

3 > 2

So, \(\frac{3}{4}\) inch is greater than \(\frac{2}{4}\) inch.

Therefore, it rained more on Tuesday.

**On Your Own**

Question 2.

**Construct Arguments** Lisa has two same-sized pizzas. She says \(\frac{3}{8}\) of one pizza is greater than \(\frac{5}{8}\) of the other because each of the 3 equal parts in \(\frac{3}{8}\) is larger than each of the 5 equal parts of \(\frac{5}{8}\). Is Lisa correct? Explain your answer and draw a visual model to show your reasoning.

Answer:

Explanation:

Lisa has two same-sized pizzas

She says \(\frac{3}{8}\) of one pizza is greater than \(\frac{5}{8}\) of the other because each of the 3 equal parts in \(\frac{3}{8}\) is larger than each of the 5 equal parts of \(\frac{5}{8}\)

I drew the fractions and shaded them

As the denominators are same we need to compare the numerator

3<5

So, Lisa is not correct and \(\frac{3}{8}\) of one pizza is less than \(\frac{5}{8}\).

**Compare the fractions. Write <, >, or =.**

Question 3.

\(\frac{3}{8}\) \(\frac{5}{8}\)

Answer:

\(\frac{3}{8}\) \(\frac{5}{8}\)

Explanation:

As the denominators are equal compare the numerators

3 < 5

So, \(\frac{3}{8}\) \(\frac{5}{8}\).

Question 4.

\(\frac{5}{6}\) \(\frac{4}{6}\)

Answer:

\(\frac{5}{6}\) \(\frac{4}{6}\)

Explanation:

As the denominators are equal compare the numerators

5 > 4

So, \(\frac{5}{6}\) \(\frac{4}{6}\).

Question 5.

\(\frac{5}{3}\) \(\frac{5}{3}\)

Answer:

\(\frac{5}{3}\) \(\frac{5}{3}\)

Explanation:

As the denominators are equal compare the numerators

5 = 5

So, \(\frac{5}{3}\) \(\frac{5}{3}\).

Question 6.

**Reason** Remi’s family eats \(\frac{2}{6}\) of a carrot loaf and \(\frac{3}{6}\) of a pumpkin loaf. Both loaves are the same size. Which loaf has less left over? Explain.

Answer:

Pumpkin loaf

Explanation:

Remi’s family eats \(\frac{2}{6}\) of a carrot loaf and \(\frac{3}{6}\) of a pumpkin loaf.

As both loaves are the same size that is 6 parts in whole

The 4 parts of carrot loaf is left and the 3 parts of pumpkin loaf is left

3 < 4

So, Pumpkin loaf has less left over.

**I’m in a Learning Mindset!**

How can I take notes to help me if I get confused about comparing fractions that have the same denominator?

Answer: