# Converting Mixed Number 5 11/13 to Decimal

To know What is 5 11/13 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)

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## Detailed Solution to Convert Mixed Number 5 11/13 to Decimal

Solution by Separating the Parts

511/13 = 5 + 11/13

We know that

11/13

is the same as

11 ÷ 13

Therefore:

511/13 = 5 + (11 ÷ 13)

Divide the numerator 11 by the denominator 13

The given Divisor = 13 and Dividend = 11

 0. 8 4 6 1 1 3 1 1. 0 0 0 0 0 1 1 0 1 0 4 6 0 5 2 8 0 7 8 2 0 1 3 7

Quotient = 0.8461

= 5 + 0.846 = 5.846

Solution by Converting to Improper Fraction

Given Mixed Number is 5 11/13

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

The Whole Number is 5 and the fractional part is 11/13.

On adding them, they can be written as:

5/1 + 11/13

The L.C.M of the denominators 1 and 13 is 13.

The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 13.

5 x 13 + 11/13

65 + 11/13

After multiplying, the numerators 65 and 11 should be added.

76/13

The fraction value we get is 76/13.

After converting the Mixed Number 5 11/13 to the Improper Fraction,the result is 76/13.

= 76/13

We know that

76/13

is the same as

76 ÷ 13

Divide the numerator 76 by the denominator 13

The given Divisor = 13 and Dividend = 11

 0. 8 4 6 1 1 3 1 1. 0 0 0 0 0 1 1 0 1 0 4 6 0 5 2 8 0 7 8 2 0 1 3 7

Quotient = 0.8461

and rounding to a Max of 3 Decimal Places gives us

= 5.846