What is 40 38/40 as an improper fraction?

The mixed number 40 38/40 written as an improper fraction is 1638/40

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Convert 40 38/40 as an improper fraction

To turn the mixed number 40 38/40 into an improper fraction, use these simple steps:

First, multiply the whole number by the denominator of the fractional part: 40 × 40 = 1600.

After that, add the result to the numerator of the fractional part: 1600 + 38 = 1638.

Next, Write the sum of the previous step on the original denominator: 1638/40.

40
38/40
=
40 × 40 + 38/40
=
1638/40

This means that 40 38/40, as an improper fraction, equals 1638/40.

See also: 40 38/40 as a decimal

Examples of decimal to fraction calculations