Question

What is 56 1/4 as a fraction in simplest form?

Answer 1

We have to simplify
`56 (1)/(4)`%

This is a mixed fraction, with 56 as the whole number part and
`(1)/(4)` as the fractional part

Such a fraction can be simplified as:

Denominator of simplified fraction = Denominator of mixed fraction

and Numerator of simplified fraction = (Denominator of mixed fraction × Whole number) + (Numerator of simplified fraction)

⇒ Denominator of simplified fraction = 4

and Numerator of simplified fraction = (4 × 56) + (1)

⇒ Numerator of simplified fraction = 225

Hence, the mixed fraction in its simplest form is
`(225)/(4)`