Converting Mixed Number 5 61/96 to Decimal
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Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
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