Improper Fractions Math Example 5

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

Example 5

medium
Convert 175\frac{17}{5} to a mixed number, then convert 3273\frac{2}{7} to an improper fraction.

Solution

  1. 1
    Convert 175\frac{17}{5} to a mixed number: divide 17÷5=317 \div 5 = 3 remainder 22, so 175=325\frac{17}{5} = 3\frac{2}{5}.
  2. 2
    Convert 3273\frac{2}{7} to an improper fraction: multiply the whole number by the denominator and add the numerator: 3×7+2=21+2=233 \times 7 + 2 = 21 + 2 = 23.
  3. 3
    Place over the original denominator: 327=2373\frac{2}{7} = \frac{23}{7}.

Answer

175=325and327=237\frac{17}{5} = 3\frac{2}{5} \quad \text{and} \quad 3\frac{2}{7} = \frac{23}{7}
To convert an improper fraction to a mixed number, divide the numerator by the denominator; the quotient is the whole part and the remainder is the new numerator. The reverse process multiplies the whole number by the denominator and adds the numerator.

About Improper Fractions

A fraction where the numerator is greater than or equal to the denominator, representing a value of one or more.

Learn more about Improper Fractions →

More Improper Fractions Examples

Example 1 easy

Identify whether each fraction is proper or improper, and explain: [formula], [formula], [formula].

Example 2 medium

You have [formula] quarter-slices of pizza ([formula] each). Write this as an improper fraction and

Example 3 easy

Write [formula] as a mixed number.

Example 4 medium

Multiply [formula] and give the answer as both an improper fraction and a mixed number.

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