Choose the best answer for each of the 10 questions on multiplying a fraction by a whole number. Read the explanation after each question to learn from any mistake.
Question 1 Which expression shows \(\frac{3}{4}\) as a multiple of \(\frac{1}{4}\)?
A \(3 \times \frac{1}{4}\)B \(4 \times \frac{1}{3}\)C \(3 + \frac{1}{4}\)D \(3 \times 4\)Three fourths is 3 pieces of one fourth, so it is \(3 \times \frac{1}{4}\).
Question 2 What is \(4 \times \frac{1}{5}\)?
A \(\frac{4}{20}\)B \(\frac{4}{5}\)C \(\frac{5}{4}\)D \(\frac{1}{20}\)Multiply the numerator: \(4 \times 1\) = 4. The denominator stays 5.
Question 3 2/5 2/5 2/5 Three strips with \(\frac{2}{5}\) shaded. Which equation does the picture show?
A \(3 \times \frac{2}{5} = \frac{5}{5}\)B \(3 \times \frac{2}{5} = \frac{6}{5}\)C \(3 \times \frac{2}{5} = \frac{6}{15}\)D \(3 \times \frac{2}{5} = \frac{5}{10}\)There are 3 groups of 2 fifths, which is 6 fifths. The denominator is not multiplied.
Question 4 What is \(5 \times \frac{3}{8}\)?
A \(\frac{15}{40}\)B \(\frac{8}{13}\)C \(\frac{15}{8}\)D \(\frac{3}{40}\)\(5 \times 3\) = 15 eighths. Multiplying the denominator by 5 is the common mistake.
Question 5 What is \(6 \times \frac{2}{3}\)?
A 12B 8C 4D 3\(6 \times 2\) = 12 thirds, and 12 thirds is 4 wholes. Forgetting the denominator gives 12.
Question 6 0 1 2 3 3/4 3/4 3/4 Three jumps of \(\frac{3}{4}\) on a number line. Where does the last jump land?
A \(\frac{6}{4}\)B \(\frac{12}{4}\)C \(\frac{3}{12}\)D \(\frac{9}{4}\)Each jump is \(\frac{3}{4}\), so the jumps land at \(\frac{3}{4}\), \(\frac{6}{4}\) and \(\frac{9}{4}\).
Question 7 Which fraction equals \(2 \times \frac{7}{10}\)?
A \(\frac{14}{10}\)B \(\frac{9}{10}\)C \(\frac{14}{20}\)D \(\frac{7}{20}\)\(2 \times 7\) = 14 tenths. Adding 2 to the numerator gives 9.
Question 8 Which expression equals \(\frac{9}{4}\)?
A \(4 \times \frac{1}{9}\)B \(9 \times \frac{1}{4}\)C \(9 + \frac{1}{4}\)D \(9 \times 4\)Nine fourths is 9 copies of one fourth.
Question 9 ? cups of milk 3/4 3/4 3/4 3/4 Four batches of \(\frac{3}{4}\) cup. How many cups of milk are needed for 4 batches?
A \(\frac{7}{4}\) cupsB \(\frac{3}{16}\) cupC \(\frac{12}{16}\) cupD 3 cups\(4 \times \frac{3}{4}\) = \(\frac{12}{4}\) = 3 cups. The denominator stays 4.
Question 10 Priya runs \(\frac{2}{3}\) mile each day for 5 days. How far does she run in all?
A \(3\frac{1}{3}\) milesB \(\frac{10}{15}\) mileC \(\frac{7}{3}\) milesD \(3\frac{2}{3}\) miles\(5 \times \frac{2}{3}\) = \(\frac{10}{3}\), which is 3 \(\frac{1}{3}\) miles.