Converting Mixed Number 4 6/78 to Decimal
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Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
Detailed Solution to Convert Mixed Number 4 6/78 to Decimal
Solution by Separating the Parts
46/78 = 4 + 6/78
We know that
6/78
is the same as
6 ÷ 78
Therefore:
46/78 = 4 + (6 ÷ 78)
Divide the numerator 6 by the denominator 78
The given Divisor = 78 and Dividend = 6
| 0. | 0 | 7 | 6 | 9 | ||
| 7 | 8 | 6. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 6 | 0 | |||||
| 0 | 0 | |||||
| 6 | 0 | 0 | ||||
| 5 | 4 | 6 | ||||
| 5 | 4 | 0 | ||||
| 4 | 6 | 8 | ||||
| 7 | 2 | 0 | ||||
| 7 | 0 | 2 | ||||
| 1 | 8 |
Quotient = 0.0769
= 4 + 0.077 = 4.077
Solution by Converting to Improper Fraction
Given Mixed Number is 4 6/78
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 4 and the fractional part is 6/78.
On adding them, they can be written as:
4/1 + 6/78
The L.C.M of the denominators 1 and 78 is 78.
The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 78.
4 x 78 + 6/78
312 + 6/78
After multiplying, the numerators 312 and 6 should be added.
318/78
The fraction value we get is 318/78.
On simplifying the fraction,we get:
53/13
After converting the Mixed Number 4 6/78 to the Improper Fraction,the result is 53/13.
= 53/13
We know that
53/13
is the same as
53 ÷ 13
Divide the numerator 53 by the denominator 13
The given Divisor = 78 and Dividend = 6
| 0. | 0 | 7 | 6 | 9 | ||
| 7 | 8 | 6. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 6 | 0 | |||||
| 0 | 0 | |||||
| 6 | 0 | 0 | ||||
| 5 | 4 | 6 | ||||
| 5 | 4 | 0 | ||||
| 4 | 6 | 8 | ||||
| 7 | 2 | 0 | ||||
| 7 | 0 | 2 | ||||
| 1 | 8 |
Quotient = 0.0769
and rounding to a Max of 3 Decimal Places gives us
= 4.077