4th Grade Adding and Subtracting Fractions and Mixed Numbers Test with Point Values (PDF)

Find each sum or difference.

1. \(\frac{3}{10} + \frac{6}{10}\) (1 point)
2. \(\frac{11}{12} – \frac{4}{12}\) (1 point)

The strip shows \(\frac{7}{8}\).

Write \(\frac{7}{8}\) as a sum of two fractions in two different ways.

The picture shows a mixed number.

Write the mixed number. Then write it as an improper fraction.

(a) Write \(\frac{17}{6}\) as a mixed number. (1 point)

(b) Write \(3\frac{1}{2}\) as an improper fraction. (1 point)

Add: \(2\frac{5}{8} + 3\frac{6}{8}\).

Subtract: \(6\frac{2}{5} – 3\frac{4}{5}\).

A hiking trail is \(5\frac{2}{10}\) miles long. Diego has hiked \(2\frac{7}{10}\) miles.

1. How many miles are left? (2 points)
2. The next day Diego hikes \(1\frac{8}{10}\) more miles. How many miles are left then? (1 point)

Aisha bought \(1\frac{3}{4}\) pounds of apples, \(2\frac{2}{4}\) pounds of pears and \(\frac{3}{4}\) pound of grapes.

1. How many pounds of apples and pears did she buy? (1 point)
2. How many pounds of fruit did she buy in all? (1 point)
3. Her bag holds 6 pounds. How much more can fit? (1 point)

Mia says \(\frac{2}{5} + \frac{2}{5} = \frac{4}{10}\). Explain her mistake and give the correct sum.