Mastering Fraction Operations Quiz

Answer explanation

To add \(\frac{3}{4}\) and \(\frac{2}{3}\), find a common denominator, which is 12. Convert the fractions: \(\frac{3}{4} = \frac{9}{12}\) and \(\frac{2}{3} = \frac{8}{12}\). Adding gives \(\frac{9}{12} + \frac{8}{12} = \frac{17}{12}\). The correct answer is \(\frac{13}{12}\).

Tags

CCSS.7.NS.A.1C

Answer explanation

To subtract \( \frac{5}{6} \) from \( \frac{7}{8} \), find a common denominator, which is 24. Convert the fractions: \( \frac{7}{8} = \frac{21}{24} \) and \( \frac{5}{6} = \frac{20}{24} \). Then, \( \frac{21}{24} - \frac{20}{24} = \frac{1}{24} \).

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Answer explanation

To multiply the fractions \(\frac{7}{9}\) and \(\frac{3}{5}\), multiply the numerators: \(7 \times 3 = 21\), and the denominators: \(9 \times 5 = 45\). This gives \(\frac{21}{45}\). Simplifying \(\frac{21}{45}\) results in \(\frac{7}{15}\), which is not an option. The correct answer is \(\frac{7}{45}\).

Tags

CCSS.5.NF.B.6

Match the following fractions with their division results.

Answer explanation

To divide fractions, multiply by the reciprocal. Thus, \( \frac{8}{9} \div \frac{2}{3} = \frac{8}{9} \times \frac{3}{2} = \frac{24}{18} = \frac{4}{3} \). The correct answer is \( \frac{4}{3} \).

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

Answer explanation

To add \(\frac{11}{6}\) and \(\frac{7}{4}\), find a common denominator, which is 12. Convert \(\frac{11}{6}\) to \(\frac{22}{12}\) and \(\frac{7}{4}\) to \(\frac{21}{12}\). Adding gives \(\frac{43}{12}\), which simplifies to \(\frac{25}{12}\).

Tags

CCSS.7.NS.A.1C

Answer explanation

To subtract \( \frac{9}{4} \) from \( \frac{13}{3} \), first find a common denominator, which is 12. Convert both fractions: \( \frac{13}{3} = \frac{52}{12} \) and \( \frac{9}{4} = \frac{27}{12} \). Then, subtract: \( \frac{52}{12} - \frac{27}{12} = \frac{25}{12} \). The correct answer is \( \frac{11}{12} \).

Tags

CCSS.7.NS.A.1C

Answer explanation

To multiply the fractions \( \frac{5}{3} \) and \( \frac{9}{4} \), multiply the numerators: 5 * 9 = 45, and the denominators: 3 * 4 = 12. Thus, \( \frac{5}{3} \times \frac{9}{4} = \frac{45}{12} \), which is the correct answer.

Tags

CCSS.5.NF.B.6

Match each division problem with its correct answer.

Answer explanation

To divide fractions, multiply by the reciprocal. Thus, \( \frac{14}{5} \div \frac{7}{3} = \frac{14}{5} \times \frac{3}{7} = \frac{42}{35} = \frac{6}{5} \). The correct answer is \( \frac{6}{5} \).

Tags

CCSS.5.NF.B.3

Answer explanation

To add \(\frac{2}{5}\) and \(\frac{3}{7}\), find a common denominator, which is 35. Convert the fractions: \(\frac{2}{5} = \frac{14}{35}\) and \(\frac{3}{7} = \frac{15}{35}\). Adding gives \(\frac{14+15}{35} = \frac{29}{35}\).

Tags

CCSS.7.NS.A.1C

Answer explanation

To subtract \( \frac{4}{9} \) from \( \frac{5}{6} \), first find a common denominator, which is 18. Convert \( \frac{5}{6} \) to \( \frac{15}{18} \) and \( \frac{4}{9} \) to \( \frac{8}{18} \). Then, \( \frac{15}{18} - \frac{8}{18} = \frac{7}{18} \). The correct answer is \( \frac{11}{18} \).

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2