Practice Mixed-Improper Conversion in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The process of converting between mixed-number form and improper-fraction form, which represent the same value.

Mixed to improper: multiply the whole number by the denominator, add the numerator, keep the denominator. Improper to mixed: divide numerator by denominator to get the whole part and remainder.

Example 1

easy
Convert 3\frac{2}{7} to an improper fraction.

Example 2

medium
Convert \frac{41}{6} to a mixed number, then verify by converting back to an improper fraction.

Example 3

easy
Convert 5\frac{3}{8} to an improper fraction.

Example 4

hard
Subtract \frac{29}{5} - 3\frac{2}{5} by first converting to a common form.
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