# Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Extra Practice

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## Grade 3 Go Math Answer Key Chapter 9 Compare Fractions Extra Practice

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### Common Core – Page No. 189000

Lesson 9.1

Question 1.
Nick finished $$\frac{4}{8}$$ of his homework before dinner. Ed finished $$\frac{7}{8}$$ of his homework before dinner. Who finished the greater part of his homework?

_____

Explanation:

Compare the fractions $$\frac{4}{8}$$ and $$\frac{7}{8}$$
The denominator of both the fractions is the same. So, compare the numerators.
The numerator with the greatest number will be the greatest fraction.
7 is greater than 4.
$$\frac{7}{8}$$ > $$\frac{4}{8}$$
Therefore Ed finished the greater part of his homework.

Question 2.
Rafael walked $$\frac{2}{3}$$ mile and then rode his scooter $$\frac{2}{6}$$ mile. Which distance is farther?

$$\frac{□} {□}$$ mile is farther

Answer: $$\frac{2}{3}$$

Explanation:

Rafael walked $$\frac{2}{3}$$ mile and then rode his scooter $$\frac{2}{6}$$ mile.
The numerator of both the fractions is the same but the denominators are different.
The fraction is smaller if the denominator is greater.
Thus $$\frac{2}{3}$$ > $$\frac{2}{6}$$
$$\frac{2}{3}$$ mile is farther.

Lessons 9.2–9.3

Compare. Write <, >, or =.

Question 3.
$$\frac{2}{6}$$ _____ $$\frac{3}{6}$$

Answer: $$\frac{2}{6}$$ < $$\frac{3}{6}$$

Explanation:

Compare the fractions $$\frac{2}{6}$$ and $$\frac{3}{6}$$
The denominators are the same and the numerators are different.
So compare the numerators of two fractions.
2 is less than 3.
So, $$\frac{2}{6}$$ < $$\frac{3}{6}$$

Question 4.
$$\frac{6}{8}$$ _____ $$\frac{1}{8}$$

Answer: $$\frac{6}{8}$$ > $$\frac{1}{8}$$

Explanation:

Compare $$\frac{6}{8}$$ and $$\frac{1}{8}$$
The denominators are the same and the numerators are different.
6 is greater than 1.
$$\frac{6}{8}$$ > $$\frac{1}{8}$$

Question 5.
$$\frac{3}{8}$$ _____ $$\frac{3}{4}$$

Answer: $$\frac{3}{8}$$ < $$\frac{3}{4}$$

Explanation:

Compare the fractions $$\frac{3}{8}$$ and $$\frac{3}{4}$$
The numerators are the same and denominators are different.
Compare the denominators of two fractions.
The fraction with lesser number will be the greatest.
$$\frac{3}{8}$$ < $$\frac{3}{4}$$

Question 6.
$$\frac{1}{6}$$ _____ $$\frac{1}{8}$$

Answer: $$\frac{1}{6}$$ > $$\frac{1}{8}$$

Explanation:

The numerator of both the fractions is the same.
The denominator with the greatest number will be the smallest fraction.
So, $$\frac{1}{6}$$ > $$\frac{1}{8}$$

Question 7.
$$\frac{2}{3}$$ _____ $$\frac{2}{6}$$

Answer: $$\frac{2}{3}$$ > $$\frac{2}{6}$$

Explanation:

The numerator of both the fractions is the same.
The denominator with the greatest number will be the smallest fraction.
$$\frac{2}{3}$$ > $$\frac{2}{6}$$

Question 8.
$$\frac{1}{8}$$ _____ $$\frac{3}{8}$$

Answer: $$\frac{1}{8}$$ < $$\frac{3}{8}$$

Explanation:

The denominator of both the fractions is the same.
So, compare the numerators. The fraction with the small number will be the smallest fraction.
$$\frac{1}{8}$$ < $$\frac{3}{8}$$

Lesson 9.4

Compare. Write <, >, or = . Write the strategy you used.

Question 9.
$$\frac{2}{8}$$ _____ $$\frac{2}{3}$$

Answer: $$\frac{2}{8}$$ < $$\frac{2}{3}$$

Explanation:

The numerator of both the fractions is the same.
Compare the denominators.
The denominator with the greatest number will be the smallest fraction.
$$\frac{2}{8}$$ < $$\frac{2}{3}$$

Question 10.
$$\frac{5}{6}$$ _____ $$\frac{1}{6}$$

Answer: $$\frac{5}{6}$$ > $$\frac{1}{6}$$

Explanation:

The denominator of both the fractions is the same.
The fraction with the small number will be the smallest fraction.
5 is greater than 1.
$$\frac{5}{6}$$ > $$\frac{1}{6}$$

Question 11.
$$\frac{7}{8}$$ _____ $$\frac{3}{4}$$

Answer: $$\frac{7}{8}$$ > $$\frac{3}{4}$$

Explanation:

Compare $$\frac{7}{8}$$ and $$\frac{3}{4}$$
Make the denominators equal to compare the fractions.
$$\frac{3}{4}$$ × $$\frac{8}{8}$$ = $$\frac{24}{32}$$
$$\frac{7}{8}$$ × $$\frac{4}{4}$$ = $$\frac{28}{32}$$
$$\frac{28}{32}$$ > $$\frac{24}{32}$$
$$\frac{7}{8}$$ > $$\frac{3}{4}$$

### Common Core – Page No. 190000

Lesson 9.5

Write the fractions in order from greatest to least.

Question 1.
$$\frac{1}{2}, \frac{1}{4}, \frac{1}{3}$$
Type below:
__________

Answer: $$\frac{1}{2}, \frac{1}{3}, \frac{1}{4}$$

Explanation:

The numerator of the three fractions is the same.
So, the order from greatest to least is $$\frac{1}{2}, \frac{1}{3}, \frac{1}{4}$$

Question 2.
$$\frac{4}{6}, \frac{1}{6}, \frac{2}{6}$$
Type below:
__________

Answer: $$\frac{4}{6}, \frac{2}{6}, \frac{1}{6}$$

Explanation:

The denominator of the three fractions is the same.
Compare the numerator of the fraction.
4 > 2 > 1
$$\frac{4}{6}, \frac{2}{6}, \frac{1}{6}$$

Question 3.
$$\frac{3}{6}, \frac{3}{4}, \frac{3}{8}$$
Type below:
__________

Answer: $$\frac{3}{4}, \frac{3}{6}, \frac{3}{8}$$

Explanation:

The numerator of the three fractions is the same.
So, the order is $$\frac{3}{4}, \frac{3}{6}, \frac{3}{8}$$

Question 4.
$$\frac{6}{8}, \frac{3}{8}, \frac{5}{8}$$
Type below:
__________

Answer: $$\frac{6}{8}, \frac{5}{8}, \frac{3}{8}$$

Explanation:

The denominator of the three fractions is the same.
Compare the numerator and write the order from greatest to least fraction.
$$\frac{6}{8}, \frac{5}{8}, \frac{3}{8}$$

Lessons 9.6–9.7

Shade the model. Then divide the pieces to find the equivalent fraction.

Question 5.

$$\frac{1}{4}=\frac{■}{8}$$
$$\frac{1}{4}$$ = $$\frac{□} {□}$$

Answer: $$\frac{1}{4}$$ = $$\frac{2} {8}$$

Explanation:

$$\frac{1}{4}$$ = $$\frac{2} {8}$$

Question 6.

$$\frac{2}{3}=\frac{■}{6}$$
$$\frac{2}{3}$$ = $$\frac{□} {□}$$

Answer: $$\frac{2}{3}$$ = $$\frac{4} {6}$$

Explanation:

$$\frac{2}{3}$$ = $$\frac{4} {6}$$

Use the number line to find the equivalent fraction.

Question 7.

$$\frac{1}{2}=\frac{■}{8}$$
$$\frac{1}{2}$$ = $$\frac{□} {□}$$

Answer: $$\frac{1}{2}$$ = $$\frac{4} {8}$$

Explanation:

Question 8.

$$\frac{2}{2}=\frac{■}{6}$$
$$\frac{2}{2}$$ = $$\frac{□} {□}$$

Answer: $$\frac{2}{2}$$ = $$\frac{6} {6}$$

Explanation:

Each shape is 1 whole. Shade the model to find the equivalent fraction.

Question 9.

$$\frac{3}{4}=\frac{■}{8}$$
$$\frac{3}{4}$$ = $$\frac{□} {□}$$

Answer: $$\frac{3}{4}$$ = $$\frac{6} {8}$$

Explanation:

$$\frac{3}{4}$$ = $$\frac{6} {8}$$

Question 10.

$$\frac{1}{2}=\frac{■}{6}$$
$$\frac{1}{2}$$ = $$\frac{□} {□}$$

Answer: $$\frac{1}{2}$$ = $$\frac{3} {6}$$

Explanation:

$$\frac{1}{2}$$ = $$\frac{3} {6}$$

### Conclusion

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