# Converting Mixed Number 8 4/80 to Decimal

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## Detailed Solution to Convert Mixed Number 8 4/80 to Decimal

Solution by Separating the Parts

84/80 = 8 + 4/80

We know that

4/80

is the same as

4 ÷ 80

Therefore:

84/80 = 8 + (4 ÷ 80)

Divide the numerator 4 by the denominator 80

The given Divisor = 80 and Dividend = 4

 0. 0 5 0 0 8 0 4. 0 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 0 0 0

Quotient = 0.0500

= 8 + 0.05 = 8.05

Solution by Converting to Improper Fraction

Given Mixed Number is 8 4/80

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

The Whole Number is 8 and the fractional part is 4/80.

On adding them, they can be written as:

8/1 + 4/80

The L.C.M of the denominators 1 and 80 is 80.

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 80.

8 x 80 + 4/80

640 + 4/80

After multiplying, the numerators 640 and 4 should be added.

644/80

The fraction value we get is 644/80.

On simplifying the fraction,we get:

161/20

After converting the Mixed Number 8 4/80 to the Improper Fraction,the result is 161/20.

= 161/20

We know that

161/20

is the same as

161 ÷ 20

Divide the numerator 161 by the denominator 20

The given Divisor = 80 and Dividend = 4

 0. 0 5 0 0 8 0 4. 0 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 0 0 0

Quotient = 0.0500

and rounding to a Max of 3 Decimal Places gives us

= 8.05