What is 3 69/40 as an improper fraction?

The mixed number 3 69/40 written as an improper fraction is 189/40

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Convert 3 69/40 as an improper fraction

To turn the mixed number 3 69/40 into an improper fraction, use these simple steps:

First, multiply the whole number by the denominator of the fractional part: 3 × 40 = 120.

After that, add the result to the numerator of the fractional part: 120 + 69 = 189.

Next, Write the sum of the previous step on the original denominator: 189/40.

3
69/40
=
3 × 40 + 69/40
=
189/40

This means that 3 69/40, as an improper fraction, equals 189/40.

See also: 3 69/40 as a decimal

Examples of decimal to fraction calculations