# Converting Mixed Number 9 53/86 to Decimal

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## Detailed Solution to Convert Mixed Number 9 53/86 to Decimal

Solution by Separating the Parts

953/86 = 9 + 53/86

We know that

53/86

is the same as

53 ÷ 86

Therefore:

953/86 = 9 + (53 ÷ 86)

Divide the numerator 53 by the denominator 86

The given Divisor = 86 and Dividend = 53

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

Quotient = 0.6162

= 9 + 0.616 = 9.616

Solution by Converting to Improper Fraction

Given Mixed Number is 9 53/86

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

The Whole Number is 9 and the fractional part is 53/86.

On adding them, they can be written as:

9/1 + 53/86

The L.C.M of the denominators 1 and 86 is 86.

The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 86.

9 x 86 + 53/86

774 + 53/86

After multiplying, the numerators 774 and 53 should be added.

827/86

The fraction value we get is 827/86.

After converting the Mixed Number 9 53/86 to the Improper Fraction,the result is 827/86.

= 827/86

We know that

827/86

is the same as

827 ÷ 86

Divide the numerator 827 by the denominator 86

The given Divisor = 86 and Dividend = 53

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

Quotient = 0.6162

and rounding to a Max of 3 Decimal Places gives us

= 9.616