# Converting Mixed Number 6 2/63 to Decimal

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## Detailed Solution to Convert Mixed Number 6 2/63 to Decimal

Solution by Separating the Parts

62/63 = 6 + 2/63

We know that

2/63

is the same as

2 ÷ 63

Therefore:

62/63 = 6 + (2 ÷ 63)

Divide the numerator 2 by the denominator 63

The given Divisor = 63 and Dividend = 2

 0. 0 3 1 7 6 3 2. 0 0 0 0 0 2 0 0 0 2 0 0 1 8 9 1 1 0 0 6 3 4 7 0 4 4 1 2 9

Quotient = 0.0317

= 6 + 0.032 = 6.032

Solution by Converting to Improper Fraction

Given Mixed Number is 6 2/63

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 6 and the fractional part is 2/63.

On adding them, they can be written as:

6/1 + 2/63

The L.C.M of the denominators 1 and 63 is 63.

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 63.

6 x 63 + 2/63

378 + 2/63

After multiplying, the numerators 378 and 2 should be added.

380/63

The fraction value we get is 380/63.

After converting the Mixed Number 6 2/63 to the Improper Fraction,the result is 380/63.

= 380/63

We know that

380/63

is the same as

380 ÷ 63

Divide the numerator 380 by the denominator 63

The given Divisor = 63 and Dividend = 2

 0. 0 3 1 7 6 3 2. 0 0 0 0 0 2 0 0 0 2 0 0 1 8 9 1 1 0 0 6 3 4 7 0 4 4 1 2 9

Quotient = 0.0317

and rounding to a Max of 3 Decimal Places gives us

= 6.032