Leo ran $\frac{2}{5}$ of a mile and Mia ran $\frac{3}{7}$ of a mile. Which statement correctly compares the distances they ran?

Their distances cannot be compared.

Which of these describes the correct first step to compare $\frac{3}{5}$ and $\frac{1}{2}$?

Find a common denominator, such as 10.

Multiply the denominators 5 and 2, but not the numerators.

Choose the fraction with the larger numerator.

Common Denominators, Part 2 Practice — Grade 6 math

Lesson 56: Common Denominators, Part 2 — Practice Questions

1. To compare the fractions $\frac{1}{5}$ and $\frac{3}{8}$, you first need to find a common denominator. What is the least common denominator for these two fractions? ___
2. A recipe requires $\frac{5}{6}$ cup of sugar. To measure this using a scoop that is marked in 24ths of a cup, you need to find an equivalent fraction. What is $\frac{5}{6}$ written with a denominator of 24?
- A. $\frac{20}{24}$
- B. $\frac{5}{24}$
- C. $\frac{23}{24}$
- D. $\frac{11}{24}$
3. Leo ran $\frac{2}{5}$ of a mile and Mia ran $\frac{3}{7}$ of a mile. Which statement correctly compares the distances they ran?
- A. Leo ran farther than Mia.
- B. Mia ran farther than Leo.
- C. They ran the same distance.
- D. Their distances cannot be compared.
4. To express the fraction $\frac{4}{9}$ with a new denominator of 27, you must multiply the numerator by 3. The new numerator is ___.
5. Which of these describes the correct first step to compare $\frac{3}{5}$ and $\frac{1}{2}$?
- A. Find a common denominator, such as 10.
- B. Add the numerators 3 and 1.
- C. Multiply the denominators 5 and 2, but not the numerators.
- D. Choose the fraction with the larger numerator.
6. To compare $\frac{2}{5}$ and $\frac{3}{8}$ using a common denominator, the fraction $\frac{2}{5}$ must be converted to an equivalent fraction with a denominator of 40. What is the new numerator? ___
7. Which statement correctly compares the fractions $\frac{2}{3}$ and $\frac{5}{8}$?
- A. $\frac{2}{3} < \frac{5}{8}$
- B. $\frac{2}{3} > \frac{5}{8}$
- C. $\frac{2}{3} = \frac{5}{8}$
- D. Cannot be determined
8. A team painted $\frac{4}{5}$ of a fence on Monday and $\frac{7}{9}$ of a similar fence on Tuesday. Which fraction represents the greater amount of fence painted? ___
9. Which of the following comparisons is correct?
- A. $\frac{3}{5} < \frac{4}{7}$
- B. $\frac{1}{2} < \frac{5}{12}$
- C. $\frac{5}{6} > \frac{7}{9}$
- D. $\frac{2}{3} = \frac{8}{15}$
10. What is the least common denominator you should use to compare the fractions $\frac{5}{6}$ and $\frac{3}{8}$? ___