Converting Mixed Number 2 32/82 to Decimal
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Detailed Solution to Convert Mixed Number 2 32/82 to Decimal
Solution by Separating the Parts
232/82 = 2 + 32/82
We know that
32/82
is the same as
32 ÷ 82
Therefore:
232/82 = 2 + (32 ÷ 82)
Divide the numerator 32 by the denominator 82
The given Divisor = 82 and Dividend = 32
0. | 3 | 9 | 0 | 2 | |||
8 | 2 | 3 | 2. | 0 | 0 | 0 | 0 |
0 | |||||||
3 | 2 | 0 | |||||
2 | 4 | 6 | |||||
7 | 4 | 0 | |||||
7 | 3 | 8 | |||||
2 | 0 | ||||||
0 | 0 | ||||||
2 | 0 | 0 | |||||
1 | 6 | 4 | |||||
3 | 6 |
Quotient = 0.3902
= 2 + 0.39 = 2.39
Solution by Converting to Improper Fraction
Given Mixed Number is 2 32/82
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 2 and the fractional part is 32/82.
On adding them, they can be written as:
2/1 + 32/82
The L.C.M of the denominators 1 and 82 is 82.
The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 82.
2 x 82 + 32/82
164 + 32/82
After multiplying, the numerators 164 and 32 should be added.
196/82
The fraction value we get is 196/82.
On simplifying the fraction,we get:
98/41
After converting the Mixed Number 2 32/82 to the Improper Fraction,the result is 98/41.
= 98/41
We know that
98/41
is the same as
98 ÷ 41
Divide the numerator 98 by the denominator 41
The given Divisor = 82 and Dividend = 32
0. | 3 | 9 | 0 | 2 | |||
8 | 2 | 3 | 2. | 0 | 0 | 0 | 0 |
0 | |||||||
3 | 2 | 0 | |||||
2 | 4 | 6 | |||||
7 | 4 | 0 | |||||
7 | 3 | 8 | |||||
2 | 0 | ||||||
0 | 0 | ||||||
2 | 0 | 0 | |||||
1 | 6 | 4 | |||||
3 | 6 |
Quotient = 0.3902
and rounding to a Max of 3 Decimal Places gives us
= 2.39