# Converting Mixed Number 8 1/8 to Decimal

To know What is 8 1/8 in Decimal easily make use of the handy Mixed Numbers to Decimals Calculator and get instant results.

Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)

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## Detailed Solution to Convert Mixed Number 8 1/8 to Decimal

Solution by Separating the Parts

81/8 = 8 + 1/8

We know that

1/8

is the same as

1 ÷ 8

Therefore:

81/8 = 8 + (1 ÷ 8)

Divide the numerator 1 by the denominator 8

The given Divisor = 8 and Dividend = 1

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

Quotient = 0.1250

= 8 + 0.125 = 8.125

Solution by Converting to Improper Fraction

Given Mixed Number is 8 1/8

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

The Whole Number is 8 and the fractional part is 1/8.

On adding them, they can be written as:

8/1 + 1/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 8.

8 x 8 + 1/8

64 + 1/8

After multiplying, the numerators 64 and 1 should be added.

65/8

The fraction value we get is 65/8.

After converting the Mixed Number 8 1/8 to the Improper Fraction,the result is 65/8.

= 65/8

We know that

65/8

is the same as

65 ÷ 8

Divide the numerator 65 by the denominator 8

The given Divisor = 8 and Dividend = 1

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

Quotient = 0.1250

and rounding to a Max of 3 Decimal Places gives us

= 8.125