# Converting Mixed Number 5 9/90 to Decimal

To know What is 5 9/90 in Decimal easily make use of the handy Mixed Numbers to Decimals Calculator and get instant results.

Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)

 Round to 1 2 3 4 5 6 7 8 Decimals

## Detailed Solution to Convert Mixed Number 5 9/90 to Decimal

Solution by Separating the Parts

59/90 = 5 + 9/90

We know that

9/90

is the same as

9 ÷ 90

Therefore:

59/90 = 5 + (9 ÷ 90)

Divide the numerator 9 by the denominator 90

The given Divisor = 90 and Dividend = 9

 0. 1 0 0 0 9 0 9. 0 0 0 0 0 9 0 9 0 0 0 0 0 0 0 0

Quotient = 0.1000

= 5 + 0.1 = 5.1

Solution by Converting to Improper Fraction

Given Mixed Number is 5 9/90

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

The Whole Number is 5 and the fractional part is 9/90.

On adding them, they can be written as:

5/1 + 9/90

The L.C.M of the denominators 1 and 90 is 90.

The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 90.

5 x 90 + 9/90

450 + 9/90

After multiplying, the numerators 450 and 9 should be added.

459/90

The fraction value we get is 459/90.

On simplifying the fraction,we get:

51/10

After converting the Mixed Number 5 9/90 to the Improper Fraction,the result is 51/10.

= 51/10

We know that

51/10

is the same as

51 ÷ 10

Divide the numerator 51 by the denominator 10

The given Divisor = 90 and Dividend = 9

 0. 1 0 0 0 9 0 9. 0 0 0 0 0 9 0 9 0 0 0 0 0 0 0 0

Quotient = 0.1000

and rounding to a Max of 3 Decimal Places gives us

= 5.1