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Finding the Multiplication of Mixed Numbers 82/9 and 72/9

Determine the Multiplication of Mixed Numbers 82/9 and 72/9 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Multiplication of Mixed Numbers 82/9 and 72/9

The given mixed numbers are 82/9 and 72/9

Converting 82/9 mix number to fraction

Given Mixed Number is 8 2/9

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

The Whole Number is 8 and the fractional part is 2/9.

On adding them, they can be written as:

8/1 + 2/9

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

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 9.

8 x 9 + 2/9

72 + 2/9

After multiplying, the numerators 72 and 2 should be added.

74/9

The fraction value we get is 74/9.

After converting the Mixed Number 8 2/9 to the Improper Fraction,the result is 74/9.

Converting 72/9 mix number to fraction

Given Mixed Number is 7 2/9

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

The Whole Number is 7 and the fractional part is 2/9.

On adding them, they can be written as:

7/1 + 2/9

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

The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 9.

7 x 9 + 2/9

63 + 2/9

After multiplying, the numerators 63 and 2 should be added.

65/9

The fraction value we get is 65/9.

After converting the Mixed Number 7 2/9 to the Improper Fraction,the result is 65/9.

Multiplying fractions 74/9 and 65/9

The given fractions are 74/9 and 65/9

Firstly the numerators 74 and 65 are multiplied and

Then the denominators 9 and 9 are multiplied

= 74 x 65/9 x 9

= 4810/81

The Fraction Value we get,

Result: 4810/81

In order to get the Mixed Number,we need to divide 4810 ÷ 81 to get the Quotient and Remainder

4810 divided by 81 using long division

The given Divisor = 81 and Dividend = 4810

59
814810
405
760
729
31

The Quotient is 59 and the Remainder is 31

We get the Quotient = 59 and Remainder = 31

∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator

Result: 59 31/81