# 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