Mixed-Improper Conversion Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Convert 3273\frac{2}{7} to an improper fraction.

Solution

  1. 1
    Multiply the whole number by the denominator: 3×7=213 \times 7 = 21.
  2. 2
    Add the numerator: 21+2=2321 + 2 = 23.
  3. 3
    Place over the original denominator: 237\frac{23}{7}.

Answer

237\frac{23}{7}
The formula for converting a mixed number to an improper fraction is wab=wb+abw\frac{a}{b} = \frac{wb + a}{b}. Multiply the whole part by the denominator, add the numerator, and keep the denominator unchanged.

About Mixed-Improper Conversion

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

Learn more about Mixed-Improper Conversion →

More Mixed-Improper Conversion Examples

Example 2 medium

Convert [formula] to a mixed number, then verify by converting back to an improper fraction.

Example 3 easy

Convert [formula] to an improper fraction.

Example 4 hard

Subtract [formula] by first converting to a common form.

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