Converting Mixed Number 4 1/7 to Decimal
To know What is 4 1/7 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 4 1/7 to Decimal
Solution by Separating the Parts
41/7 = 4 + 1/7
We know that
1/7
is the same as
1 ÷ 7
Therefore:
41/7 = 4 + (1 ÷ 7)
Divide the numerator 1 by the denominator 7
The given Divisor = 7 and Dividend = 1
| 0. | 1 | 4 | 2 | 8 | |
| 7 | 1. | 0 | 0 | 0 | 0 |
| 0 | |||||
| 1 | 0 | ||||
| 0 | 7 | ||||
| 3 | 0 | ||||
| 2 | 8 | ||||
| 2 | 0 | ||||
| 1 | 4 | ||||
| 6 | 0 | ||||
| 5 | 6 | ||||
| 4 |
Quotient = 0.1428
= 4 + 0.143 = 4.143
Solution by Converting to Improper Fraction
Given Mixed Number is 4 1/7
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 4 and the fractional part is 1/7.
On adding them, they can be written as:
4/1 + 1/7
The L.C.M of the denominators 1 and 7 is 7.
The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 7.
4 x 7 + 1/7
28 + 1/7
After multiplying, the numerators 28 and 1 should be added.
29/7
The fraction value we get is 29/7.
After converting the Mixed Number 4 1/7 to the Improper Fraction,the result is 29/7.
= 29/7
We know that
29/7
is the same as
29 ÷ 7
Divide the numerator 29 by the denominator 7
The given Divisor = 7 and Dividend = 1
| 0. | 1 | 4 | 2 | 8 | |
| 7 | 1. | 0 | 0 | 0 | 0 |
| 0 | |||||
| 1 | 0 | ||||
| 0 | 7 | ||||
| 3 | 0 | ||||
| 2 | 8 | ||||
| 2 | 0 | ||||
| 1 | 4 | ||||
| 6 | 0 | ||||
| 5 | 6 | ||||
| 4 |
Quotient = 0.1428
and rounding to a Max of 3 Decimal Places gives us
= 4.143