What is 38 46/40 as an improper fraction?

The mixed number 38 46/40 written as an improper fraction is 1566/40

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Convert 38 46/40 as an improper fraction

To turn the mixed number 38 46/40 into an improper fraction, use these simple steps:

First, multiply the whole number by the denominator of the fractional part: 38 × 40 = 1520.

After that, add the result to the numerator of the fractional part: 1520 + 46 = 1566.

Next, Write the sum of the previous step on the original denominator: 1566/40.

38
46/40
=
38 × 40 + 46/40
=
1566/40

This means that 38 46/40, as an improper fraction, equals 1566/40.

See also: 38 46/40 as a decimal

Examples of decimal to fraction calculations