Fraction Word Problems Quiz

Answer explanation

To add the fractions \(\frac{3}{8} + \frac{2}{8}\), keep the denominator the same and add the numerators: \(3 + 2 = 5\). Thus, the result is \(\frac{5}{8}\), which is the correct answer.

Answer explanation

To subtract the fractions \(\frac{7}{10} - \frac{3}{10}\), keep the denominator the same and subtract the numerators: \(7 - 3 = 4\). Thus, the result is \(\frac{4}{10}\), which is the correct answer.

Answer explanation

To multiply the fraction \(\frac{5}{6}\) by the whole number 3, multiply the numerator by 3: \(5 \times 3 = 15\). The denominator remains 6, resulting in \(\frac{15}{6}\), which is the correct answer.

Answer explanation

To divide the fraction \( \frac{9}{4} \) by 3, multiply by the reciprocal of 3, which is \( \frac{1}{3} \): \( \frac{9}{4} \times \frac{1}{3} = \frac{9}{12} \). Simplifying \( \frac{9}{12} \) gives \( \frac{3}{4} \), the correct answer.

Answer explanation

To convert the improper fraction \( \frac{11}{3} \) to a mixed number, divide 11 by 3. The quotient is 3 and the remainder is 2. Thus, \( \frac{11}{3} = 3 \frac{2}{3} \), making \( 3 \frac{2}{3} \) the correct answer.

Answer explanation

You start with \( \frac{5}{8} \) of a pizza and eat \( \frac{2}{8} \). To find out how much is left, subtract: \( \frac{5}{8} - \frac{2}{8} = \frac{3}{8} \). Thus, you have \( \frac{3}{8} \) of pizza left.

Answer explanation

To find the total sugar needed for 3 batches, multiply the sugar per batch, \(\frac{2}{5}\), by 3: \(3 \times \frac{2}{5} = \frac{6}{5}\) cups. Thus, the correct answer is \(\frac{6}{5}\) cups.

Answer explanation

To convert the improper fraction \( \frac{14}{5} \) to a mixed number, divide 14 by 5. The quotient is 2 and the remainder is 4. Thus, \( \frac{14}{5} = 2 \frac{4}{5} \), making \( 2 \frac{4}{5} \) the correct answer.

Answer explanation

To add the fractions \(\frac{4}{9} + \frac{2}{9}\), keep the denominator the same and add the numerators: \(4 + 2 = 6\). Thus, the result is \(\frac{6}{9}\), which is the correct answer.