Converting Mixed Number 2 5/8 to Decimal
To know What is 2 5/8 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 2 5/8 to Decimal
Solution by Separating the Parts
25/8 = 2 + 5/8
We know that
5/8
is the same as
5 ÷ 8
Therefore:
25/8 = 2 + (5 ÷ 8)
Divide the numerator 5 by the denominator 8
The given Divisor = 8 and Dividend = 5
| 0. | 6 | 2 | 5 | 0 | |
| 8 | 5. | 0 | 0 | 0 | |
| 0 | |||||
| 5 | 0 | ||||
| 4 | 8 | ||||
| 2 | 0 | ||||
| 1 | 6 | ||||
| 4 | 0 | ||||
| 4 | 0 | ||||
| 0 | |||||
| 0 | |||||
| 0 |
Quotient = 0.6250
= 2 + 0.625 = 2.625
Solution by Converting to Improper Fraction
Given Mixed Number is 2 5/8
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 2 and the fractional part is 5/8.
On adding them, they can be written as:
2/1 + 5/8
The L.C.M of the denominators 1 and 8 is 8.
The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 8.
2 x 8 + 5/8
16 + 5/8
After multiplying, the numerators 16 and 5 should be added.
21/8
The fraction value we get is 21/8.
After converting the Mixed Number 2 5/8 to the Improper Fraction,the result is 21/8.
= 21/8
We know that
21/8
is the same as
21 ÷ 8
Divide the numerator 21 by the denominator 8
The given Divisor = 8 and Dividend = 5
| 0. | 6 | 2 | 5 | 0 | |
| 8 | 5. | 0 | 0 | 0 | |
| 0 | |||||
| 5 | 0 | ||||
| 4 | 8 | ||||
| 2 | 0 | ||||
| 1 | 6 | ||||
| 4 | 0 | ||||
| 4 | 0 | ||||
| 0 | |||||
| 0 | |||||
| 0 |
Quotient = 0.6250
and rounding to a Max of 3 Decimal Places gives us
= 2.625