# Converting Mixed Number 1 1/3 to Decimal

To know What is 1 1/3 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 1 1/3 to Decimal

Solution by Separating the Parts

11/3 = 1 + 1/3

We know that

1/3

is the same as

1 ÷ 3

Therefore:

11/3 = 1 + (1 ÷ 3)

Divide the numerator 1 by the denominator 3

The given Divisor = 3 and Dividend = 1

 0. 3 3 3 3 3 1. 0 0 0 0 0 1 0 0 9 1 0 0 9 1 0 0 9 1 0 0 9 1

Quotient = 0.3333

= 1 + 0.333 = 1.333

Solution by Converting to Improper Fraction

Given Mixed Number is 1 1/3

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

The Whole Number is 1 and the fractional part is 1/3.

On adding them, they can be written as:

1/1 + 1/3

The L.C.M of the denominators 1 and 3 is 3.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 3.

1 x 3 + 1/3

3 + 1/3

After multiplying, the numerators 3 and 1 should be added.

4/3

The fraction value we get is 4/3.

After converting the Mixed Number 1 1/3 to the Improper Fraction,the result is 4/3.

= 4/3

We know that

4/3

is the same as

4 ÷ 3

Divide the numerator 4 by the denominator 3

The given Divisor = 3 and Dividend = 1

 0. 3 3 3 3 3 1. 0 0 0 0 0 1 0 0 9 1 0 0 9 1 0 0 9 1 0 0 9 1

Quotient = 0.3333

and rounding to a Max of 3 Decimal Places gives us

= 1.333