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)
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