# Converting Mixed Number 5 61/96 to Decimal

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## Detailed Solution to Convert Mixed Number 5 61/96 to Decimal

Solution by Separating the Parts

561/96 = 5 + 61/96

We know that

61/96

is the same as

61 ÷ 96

Therefore:

561/96 = 5 + (61 ÷ 96)

Divide the numerator 61 by the denominator 96

The given Divisor = 96 and Dividend = 61

 0. 6 3 5 4 9 6 6 1. 0 0 0 0 0 6 1 0 5 7 6 3 4 0 2 8 8 5 2 0 4 8 0 4 0 0 3 8 4 1 6

Quotient = 0.6354

= 5 + 0.635 = 5.635

Solution by Converting to Improper Fraction

Given Mixed Number is 5 61/96

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 5 and the fractional part is 61/96.

On adding them, they can be written as:

5/1 + 61/96

The L.C.M of the denominators 1 and 96 is 96.

The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 96.

5 x 96 + 61/96

480 + 61/96

After multiplying, the numerators 480 and 61 should be added.

541/96

The fraction value we get is 541/96.

After converting the Mixed Number 5 61/96 to the Improper Fraction,the result is 541/96.

= 541/96

We know that

541/96

is the same as

541 ÷ 96

Divide the numerator 541 by the denominator 96

The given Divisor = 96 and Dividend = 61

 0. 6 3 5 4 9 6 6 1. 0 0 0 0 0 6 1 0 5 7 6 3 4 0 2 8 8 5 2 0 4 8 0 4 0 0 3 8 4 1 6

Quotient = 0.6354

and rounding to a Max of 3 Decimal Places gives us

= 5.635