# Converting Mixed Number 20 2/6 to Decimal

To know What is 20 2/6 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 20 2/6 to Decimal

Solution by Separating the Parts

202/6 = 20 + 2/6

We know that

2/6

is the same as

2 ÷ 6

Therefore:

202/6 = 20 + (2 ÷ 6)

Divide the numerator 2 by the denominator 6

The given Divisor = 6 and Dividend = 2

 0. 3 3 3 3 6 2. 0 0 0 0 0 2 0 1 8 2 0 1 8 2 0 1 8 2 0 1 8 2

Quotient = 0.3333

= 20 + 0.333 = 20.333

Solution by Converting to Improper Fraction

Given Mixed Number is 20 2/6

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

The Whole Number is 20 and the fractional part is 2/6.

On adding them, they can be written as:

20/1 + 2/6

The L.C.M of the denominators 1 and 6 is 6.

The numerator of the first fraction 20 is multiplied with the denominator of the second fraction 6.

20 x 6 + 2/6

120 + 2/6

After multiplying, the numerators 120 and 2 should be added.

122/6

The fraction value we get is 122/6.

On simplifying the fraction,we get:

61/3

After converting the Mixed Number 20 2/6 to the Improper Fraction,the result is 61/3.

= 61/3

We know that

61/3

is the same as

61 ÷ 3

Divide the numerator 61 by the denominator 3

The given Divisor = 6 and Dividend = 2

 0. 3 3 3 3 6 2. 0 0 0 0 0 2 0 1 8 2 0 1 8 2 0 1 8 2 0 1 8 2

Quotient = 0.3333

and rounding to a Max of 3 Decimal Places gives us

= 20.333