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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
Solve. Show your work.
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?
_____
Answer: Ed
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
Learn the fundamentals right from the young age and become pro in the subject. To help you understand the concepts better we even drew pictures. Utilize Go Math Grade 3 Answer Key Chapter 9 Extra Practice and score better grades in the exams. To Clear all your queries check out Go Math Grade 3 Answer Key Chapter 9 Compare Fractions PDF.