# Converting Mixed Number 3 7/9 to Decimal

To know What is 3 7/9 in Decimal easily make use of the handy Mixed Numbers to Decimals Calculator and get instant results.

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## Detailed Solution to Convert Mixed Number 3 7/9 to Decimal

Solution by Separating the Parts

37/9 = 3 + 7/9

We know that

7/9

is the same as

7 ÷ 9

Therefore:

37/9 = 3 + (7 ÷ 9)

Divide the numerator 7 by the denominator 9

The given Divisor = 9 and Dividend = 7

 0. 7 7 7 7 9 7. 0 0 0 0 0 7 0 6 3 7 0 6 3 7 0 6 3 7 0 6 3 7

Quotient = 0.7777

= 3 + 0.778 = 3.778

Solution by Converting to Improper Fraction

Given Mixed Number is 3 7/9

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

The Whole Number is 3 and the fractional part is 7/9.

On adding them, they can be written as:

3/1 + 7/9

The L.C.M of the denominators 1 and 9 is 9.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 9.

3 x 9 + 7/9

27 + 7/9

After multiplying, the numerators 27 and 7 should be added.

34/9

The fraction value we get is 34/9.

After converting the Mixed Number 3 7/9 to the Improper Fraction,the result is 34/9.

= 34/9

We know that

34/9

is the same as

34 ÷ 9

Divide the numerator 34 by the denominator 9

The given Divisor = 9 and Dividend = 7

 0. 7 7 7 7 9 7. 0 0 0 0 0 7 0 6 3 7 0 6 3 7 0 6 3 7 0 6 3 7

Quotient = 0.7777

and rounding to a Max of 3 Decimal Places gives us

= 3.778