What is 30 9/40 as an improper fraction?

The mixed number 30 9/40 written as an improper fraction is 1209/40

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Convert 30 9/40 as an improper fraction

To turn the mixed number 30 9/40 into an improper fraction, use these simple steps:

First, multiply the whole number by the denominator of the fractional part: 30 × 40 = 1200.

After that, add the result to the numerator of the fractional part: 1200 + 9 = 1209.

Next, Write the sum of the previous step on the original denominator: 1209/40.

30
9/40
=
30 × 40 + 9/40
=
1209/40

This means that 30 9/40, as an improper fraction, equals 1209/40.

See also: 30 9/40 as a decimal

Examples of decimal to fraction calculations