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Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
Solution by Separating the Parts
511/13 = 5 + 11/13
We know that
11/13
is the same as
11 ÷ 13
Therefore:
511/13 = 5 + (11 ÷ 13)
The given Divisor = 13 and Dividend = 11
| 0. | 8 | 4 | 6 | 1 | |||
| 1 | 3 | 1 | 1. | 0 | 0 | 0 | 0 |
| 0 | |||||||
| 1 | 1 | 0 | |||||
| 1 | 0 | 4 | |||||
| 6 | 0 | ||||||
| 5 | 2 | ||||||
| 8 | 0 | ||||||
| 7 | 8 | ||||||
| 2 | 0 | ||||||
| 1 | 3 | ||||||
| 7 |
Quotient = 0.8461
= 5 + 0.846 = 5.846
Solution by Converting to Improper Fraction
Given Mixed Number is 5 11/13
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 5 and the fractional part is 11/13.
On adding them, they can be written as:
5/1 + 11/13
The L.C.M of the denominators 1 and 13 is 13.
The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 13.
5 x 13 + 11/13
65 + 11/13
After multiplying, the numerators 65 and 11 should be added.
76/13
The fraction value we get is 76/13.
After converting the Mixed Number 5 11/13 to the Improper Fraction,the result is 76/13.
= 76/13
We know that
76/13
is the same as
76 ÷ 13
The given Divisor = 13 and Dividend = 11
| 0. | 8 | 4 | 6 | 1 | |||
| 1 | 3 | 1 | 1. | 0 | 0 | 0 | 0 |
| 0 | |||||||
| 1 | 1 | 0 | |||||
| 1 | 0 | 4 | |||||
| 6 | 0 | ||||||
| 5 | 2 | ||||||
| 8 | 0 | ||||||
| 7 | 8 | ||||||
| 2 | 0 | ||||||
| 1 | 3 | ||||||
| 7 |
Quotient = 0.8461
and rounding to a Max of 3 Decimal Places gives us
= 5.846
