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Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
Solution by Separating the Parts
435/84 = 4 + 35/84
We know that
35/84
is the same as
35 ÷ 84
Therefore:
435/84 = 4 + (35 ÷ 84)
The given Divisor = 84 and Dividend = 35
| 0. | 4 | 1 | 6 | 6 | |||
| 8 | 4 | 3 | 5. | 0 | 0 | 0 | 0 |
| 0 | |||||||
| 3 | 5 | 0 | |||||
| 3 | 3 | 6 | |||||
| 1 | 4 | 0 | |||||
| 0 | 8 | 4 | |||||
| 5 | 6 | 0 | |||||
| 5 | 0 | 4 | |||||
| 5 | 6 | 0 | |||||
| 5 | 0 | 4 | |||||
| 5 | 6 |
Quotient = 0.4166
= 4 + 0.417 = 4.417
Solution by Converting to Improper Fraction
Given Mixed Number is 4 35/84
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 4 and the fractional part is 35/84.
On adding them, they can be written as:
4/1 + 35/84
The L.C.M of the denominators 1 and 84 is 84.
The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 84.
4 x 84 + 35/84
336 + 35/84
After multiplying, the numerators 336 and 35 should be added.
371/84
The fraction value we get is 371/84.
On simplifying the fraction,we get:
53/12
After converting the Mixed Number 4 35/84 to the Improper Fraction,the result is 53/12.
= 53/12
We know that
53/12
is the same as
53 ÷ 12
The given Divisor = 84 and Dividend = 35
| 0. | 4 | 1 | 6 | 6 | |||
| 8 | 4 | 3 | 5. | 0 | 0 | 0 | 0 |
| 0 | |||||||
| 3 | 5 | 0 | |||||
| 3 | 3 | 6 | |||||
| 1 | 4 | 0 | |||||
| 0 | 8 | 4 | |||||
| 5 | 6 | 0 | |||||
| 5 | 0 | 4 | |||||
| 5 | 6 | 0 | |||||
| 5 | 0 | 4 | |||||
| 5 | 6 |
Quotient = 0.4166
and rounding to a Max of 3 Decimal Places gives us
= 4.417
