# Converting Mixed Number 7 56/89 to Decimal

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## Detailed Solution to Convert Mixed Number 7 56/89 to Decimal

Solution by Separating the Parts

756/89 = 7 + 56/89

We know that

56/89

is the same as

56 ÷ 89

Therefore:

756/89 = 7 + (56 ÷ 89)

Divide the numerator 56 by the denominator 89

The given Divisor = 89 and Dividend = 56

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

Quotient = 0.6292

= 7 + 0.629 = 7.629

Solution by Converting to Improper Fraction

Given Mixed Number is 7 56/89

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

The Whole Number is 7 and the fractional part is 56/89.

On adding them, they can be written as:

7/1 + 56/89

The L.C.M of the denominators 1 and 89 is 89.

The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 89.

7 x 89 + 56/89

623 + 56/89

After multiplying, the numerators 623 and 56 should be added.

679/89

The fraction value we get is 679/89.

After converting the Mixed Number 7 56/89 to the Improper Fraction,the result is 679/89.

= 679/89

We know that

679/89

is the same as

679 ÷ 89

Divide the numerator 679 by the denominator 89

The given Divisor = 89 and Dividend = 56

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

Quotient = 0.6292

and rounding to a Max of 3 Decimal Places gives us

= 7.629