All the solutions provided in **McGraw Hill My Math Grade 3 Answer Key PDF Chapter 10 Lesson 8 Compare Fractions **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 10 Lesson 8 Compare Fractions

You can compare fractions when the two fractions refer to the same size whole.

**Math in My World**

**Example 1**

Ajay has \(\frac{3}{6}\) of his homework done. Yuki finished \(\frac{4}{6}\) of hers. Who has finished a greater part of their homework?

One Way:

Use fraction tiles.

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

The models show that \(\frac{4}{6}\) has a greater size than \(\frac{3}{6}\).

So, \(\frac{4}{6}\) > \(\frac{3}{6}\).

Another Way:

Use a number line.

Represent each fraction on a number line.

\(\frac{4}{6}\) is closer to 1 whole. So, \(\frac{4}{6}\) > \(\frac{3}{6}\).

So, _____________ finished a greater part of her homework.

Answer:

Given that,

The fractions are \(\frac{4}{6}\), \(\frac{3}{6}\).

So, \(\frac{4}{6}\) > \(\frac{3}{6}\).

So, Ajay finished a greater part of her homework.

**Example 2**

Camille and Peter were reading a book. Camille read \(\frac{1}{4}\) of the book, while Peter read \(\frac{1}{3}\) of the same book. Who read a greater part of the book?

Compare \(\frac{1}{4}\) and \(\frac{1}{3}\).

One-third is closer to 1 whole.

So, is greater than \(\frac{1}{4}\) or > \(\frac{1}{4}\).

So, _____________ read a greater part of the book.

Answer:

One-third is closer to 1 whole.

So, 1/3 is greater than \(\frac{1}{4}\) or 1/3 > \(\frac{1}{4}\).

So, Peter read a greater part of the book.

**Talk Math**

How can you compare two fractions that have the same numerator but different denominators?

Answer:

To compare the fractions with same numerator but different denominators means that fraction is greater than the which as the smaller denominator.

**Guided Practice**

Question 1.

Use the models to compare. Use >, <, or =.

Answer:

Given that the fractions are 1/3, 2/3.

1/3 < 2/3

**Independent Practice**

**Use the models to compare. Use >, <, or =.**

Question 2.

Answer:

Given that,

The fractions are 1/4, 1/6.

1/4 > 1/6.

Question 3.

Answer:

Given that,

The fractions are 7/8, 6/8.

7/8 > 6/8

Question 4.

Answer:

Given that,

The fractions are 2/4, 4/8.

2/4 = 4/8.

Question 5.

Answer:

Given that,

The fractions are 4/8, 4/6.

4/8 > 4/6

**Use the number line for Exercises 6-8.**

Question 6.

Circle all of the fractions on the number line that are greater than \(\frac{5}{8}\).

Answer:

Given that the fraction is \(\frac{5}{8}\).

The circle fractions is greater than the 5/8.

Question 7.

Draw a box around all of the fractions on the number line that are less than \(\frac{3}{8}\).

Answer:

Given that the fraction is \(\frac{3}{8}\).

The fractions in the box is less than \(\frac{3}{8}\).

Question 8.

Write the fraction from the number line that is greater than \(\frac{3}{8}\) but less than \(\frac{5}{8}\).

Answer:

Given that,

The fractions is \(\frac{3}{8}\), \(\frac{5}{8}\).

The fraction greater than \(\frac{3}{8}\) and less than \(\frac{5}{8}\) is \(\frac{4}{8}\).

**Problem Solving**

Question 9.

**Mathematical PRACTICE** Explain to a Friend Alister makes a party mix with \(\frac{1}{3}\) cup of raisins and \(\frac{2}{3}\) cup of cereal. Are there more raisins or cereal? Explain.

Answer:

Given that,

Alister makes a party mix with \(\frac{1}{3}\) cup of raisins and \(\frac{2}{3}\) cup of cereal.

\(\frac{1}{3}\) = 1/3 = 0.33.

\(\frac{2}{3}\) = 2/3 = 0.66.

1/3 > 2/3.

Therefore there is more cup of raisins.

Question 10.

Debbie realized that more than 4- of her summer vacation has passed. Circle the fraction that is greater than \(\frac{4}{8}\).

\(\frac{5}{8}\) \(\frac{3}{8}\) \(\frac{2}{8}\)

Answer:

The circle part is greater than the \(\frac{4}{8}\).

**HOT Problems**

Question 11.

**Mathematical PRACTICE** Justify Conclusions Is \(\frac{1}{4}\) of the smaller waffle equal to \(\frac{1}{4}\) of the larger waffle? Explain.

Answer:

Given that,

\(\frac{1}{4}\) of the smaller waffle equal to \(\frac{1}{4}\) of the larger waffle.

It means one part of the small waffle is equal to one part of the larger waffle.

Therefore 1/4 = 1/4.

Question 12.

If you are comparing the fractions \(\frac{4}{8}\) and\(\frac{3}{8}\), how can you tell which fraction is greater without using models?

Answer:

Given that,

The fractions are \(\frac{4}{8}\) = 4/8 = 1/2 = 0.5.

\(\frac{3}{8}\) = 3/8 = 0.37

0.5 is greater than 0.37.

\(\frac{4}{8}\) is the greater fraction.

Question 13.

**Building on the Essential Question** How can fractions be compared?

Answer:

The fractions can be compared using the decimals or using the same denominator.

### McGraw Hill My Math Grade 3 Chapter 10 Lesson 8 My Homework Answer Key

**Practice**

**Use the models to compare. Use >, <, or =.**

Question 1.

Answer:

Given that,

The fractions are 1/3, 1/2.

1/3 < 1/2

Question 2.

Answer:

Given that,

The fractions are 5/6, 4/6

5/6 > 4/6

Question 3.

Answer:

Given that,

The fractions are 7/8, 3/8.

7/8 > 3/8.

Question 4.

Answer:

Given that,

The fractions are 2/3, 4/6.

2/3 = 4/6.

**Problem Solving**

Question 5.

**Mathematical PRACTICE** Justify Conclusions Harvey practiced the piano for \(\frac{5}{8}\) of an hour. Annika practiced the piano for \(\frac{5}{6}\) of an hour. Use the models to determine who practiced the piano for a longer period of time.

Answer:

Given that,

Harvey practiced the piano for \(\frac{5}{8}\) of an hour.

Annika practiced the piano for \(\frac{5}{6}\) of an hour.

5/6 > 5/8

Therefore the Harvey practiced the piano for longer period of time.

Question 6.

**Mathematical PRACTICE** Use Math Tools The average housecat sleeps about \(\frac{2}{3}\) of a day. Most people sleep about \(\frac{1}{3}\) of the day. Do housecats or people sleep for a greater fraction of the day? Graph both fractions on the number line to compare.

Answer:

The red dot represents the Most people sleep.

The blue dot represent the average housecat sleeps.

2/3 is greater than 1/3.

Therefore the greater fraction of the day is \(\frac{2}{3}\). it is average housecat sleeps.

**Test Practice**

Question 7.

The number line shows which of the following fractions is less than \(\frac{2}{4}\)?

(A) \(\frac{1}{4}\)

(B) \(\frac{2}{4}\)

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

(D) \(\frac{4}{4}\)

Answer:

Given that,

The fraction is \(\frac{2}{4}\).

The fractions less than \(\frac{2}{4}\) is \(\frac{1}{4}\).

Option A is the correct answer.