# Converting Mixed Number 6 5/7 to Decimal

To know What is 6 5/7 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 6 5/7 to Decimal

Solution by Separating the Parts

65/7 = 6 + 5/7

We know that

5/7

is the same as

5 ÷ 7

Therefore:

65/7 = 6 + (5 ÷ 7)

Divide the numerator 5 by the denominator 7

The given Divisor = 7 and Dividend = 5

 0. 7 1 4 2 7 5. 0 0 0 0 0 5 0 4 9 1 0 0 7 3 0 2 8 2 0 1 4 6

Quotient = 0.7142

= 6 + 0.714 = 6.714

Solution by Converting to Improper Fraction

Given Mixed Number is 6 5/7

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

The Whole Number is 6 and the fractional part is 5/7.

On adding them, they can be written as:

6/1 + 5/7

The L.C.M of the denominators 1 and 7 is 7.

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 7.

6 x 7 + 5/7

42 + 5/7

After multiplying, the numerators 42 and 5 should be added.

47/7

The fraction value we get is 47/7.

After converting the Mixed Number 6 5/7 to the Improper Fraction,the result is 47/7.

= 47/7

We know that

47/7

is the same as

47 ÷ 7

Divide the numerator 47 by the denominator 7

The given Divisor = 7 and Dividend = 5

 0. 7 1 4 2 7 5. 0 0 0 0 0 5 0 4 9 1 0 0 7 3 0 2 8 2 0 1 4 6

Quotient = 0.7142

and rounding to a Max of 3 Decimal Places gives us

= 6.714