What is 218 31/8 as an improper fraction?

The mixed number 218 31/8 written as an improper fraction is 1775/8

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Convert 218 31/8 as an improper fraction

To turn the mixed number 218 31/8 into an improper fraction, use these simple steps:

First, multiply the whole number by the denominator of the fractional part: 218 × 8 = 1744.

After that, add the result to the numerator of the fractional part: 1744 + 31 = 1775.

Next, Write the sum of the previous step on the original denominator: 1775/8.

218
31/8
=
218 × 8 + 31/8
=
1775/8

This means that 218 31/8, as an improper fraction, equals 1775/8.

See also: 218 31/8 as a decimal

Examples of decimal to fraction calculations