Choose the best answer for each of the 10 questions on adding and subtracting fractions and mixed numbers. Read the explanation after each question to learn from any mistake.
Question 1 What is \(\frac{3}{8} + \frac{2}{8}\)?
A \(\frac{5}{8}\)B \(\frac{5}{16}\)C \(\frac{1}{8}\)D \(\frac{6}{8}\)Add the numerators and keep the denominator: 3 + 2 = 5. Adding the denominators is the common mistake.
Question 2 What is \(\frac{9}{10} - \frac{3}{10}\)?
A \(\frac{6}{0}\)B \(\frac{6}{10}\)C \(\frac{12}{10}\)D \(\frac{6}{20}\)Subtract the numerators: 9 - 3 = 6. The denominator stays 10.
Question 3 2/6 3/6 5 of 6 equal parts are shaded in all A strip cut into sixths. Which equation matches the strip?
A \(\frac{2}{6} + \frac{3}{6} = \frac{5}{6}\)B \(\frac{2}{6} + \frac{3}{6} = \frac{5}{12}\)C \(\frac{2}{6} + \frac{3}{6} = \frac{6}{12}\)D \(\frac{2}{6} + \frac{3}{6} = \frac{1}{6}\)2 sixths and 3 sixths make 5 sixths. The denominator does not change.
Question 4 Which sum equals \(\frac{5}{8}\)?
A \(\frac{2}{8} + \frac{2}{8}\)B \(\frac{2}{8} + \frac{3}{8}\)C \(\frac{3}{8} + \frac{3}{8}\)D \(\frac{4}{8} + \frac{4}{8}\)2 + 3 = 5 eighths. The others make 4, 6 and 8 eighths.
Question 5 Which improper fraction equals \(2\frac{1}{3}\)?
A \(\frac{6}{3}\)B \(\frac{5}{3}\)C \(\frac{21}{3}\)D \(\frac{7}{3}\)2 = \(\frac{6}{3}\), and \(\frac{6}{3}\) + \(\frac{1}{3}\) = \(\frac{7}{3}\). Forgetting the extra third gives \(\frac{6}{3}\).
Question 6 2 wholes and 1/4 Strips cut into fourths. Which improper fraction does the picture show?
A \(\frac{7}{4}\)B \(\frac{8}{4}\)C \(\frac{9}{4}\)D \(\frac{12}{4}\)There are 2 full strips (8 fourths) and 1 more fourth, which is 9 fourths.
Question 7 What is \(1\frac{3}{5} + 2\frac{4}{5}\)?
A \(3\frac{7}{10}\)B \(4\frac{1}{5}\)C \(3\frac{2}{5}\)D \(4\frac{2}{5}\)Wholes: 1 + 2 = 3. Fractions: \(\frac{3}{5}\) + \(\frac{4}{5}\) = \(\frac{7}{5}\) = 1 \(\frac{2}{5}\). Total 4 \(\frac{2}{5}\).
Question 8 What is \(5\frac{1}{4} - 2\frac{3}{4}\)?
A \(3\frac{2}{4}\)B \(3\frac{1}{4}\)C \(2\frac{2}{4}\)D \(2\frac{4}{4}\)5 \(\frac{1}{4}\) = \(\frac{21}{4}\) and 2 \(\frac{3}{4}\) = \(\frac{11}{4}\). \(\frac{21}{4}\) - \(\frac{11}{4}\) = \(\frac{10}{4}\) = 2 \(\frac{2}{4}\).
Question 9 1 whole = 8/8 3/8 2/8 ? A tape diagram. Liam ate \(\frac{3}{8}\) of a pie and Priya ate \(\frac{2}{8}\). How much of the pie is left?
A \(\frac{5}{8}\)B \(\frac{3}{8}\)C \(\frac{1}{8}\)D \(\frac{5}{16}\)The whole is \(\frac{8}{8}\). \(\frac{8}{8}\) - \(\frac{5}{8}\) = \(\frac{3}{8}\). The \(\frac{5}{8}\) is how much was eaten.
Question 10 Sofia had \(4\frac{1}{3}\) cups of flour and used \(1\frac{2}{3}\) cups. How much flour is left?
A \(2\frac{2}{3}\) cupsB \(3\frac{1}{3}\) cupsC \(2\frac{1}{3}\) cupsD \(3\frac{2}{3}\) cups4 \(\frac{1}{3}\) = \(\frac{13}{3}\) and 1 \(\frac{2}{3}\) = \(\frac{5}{3}\). \(\frac{13}{3}\) - \(\frac{5}{3}\) = \(\frac{8}{3}\) = 2 \(\frac{2}{3}\).
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