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Finding the Multiplication of Mixed Numbers 602/9 and 713/9

Determine the Multiplication of Mixed Numbers 602/9 and 713/9 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Multiplication of Mixed Numbers 602/9 and 713/9

The given mixed numbers are 602/9 and 713/9

Converting 602/9 mix number to fraction

Given Mixed Number is 60 2/9

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

The Whole Number is 60 and the fractional part is 2/9.

On adding them, they can be written as:

60/1 + 2/9

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

The numerator of the first fraction 60 is multiplied with the denominator of the second fraction 9.

60 x 9 + 2/9

540 + 2/9

After multiplying, the numerators 540 and 2 should be added.

542/9

The fraction value we get is 542/9.

After converting the Mixed Number 60 2/9 to the Improper Fraction,the result is 542/9.

Converting 713/9 mix number to fraction

Given Mixed Number is 71 3/9

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

The Whole Number is 71 and the fractional part is 3/9.

On adding them, they can be written as:

71/1 + 3/9

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

The numerator of the first fraction 71 is multiplied with the denominator of the second fraction 9.

71 x 9 + 3/9

639 + 3/9

After multiplying, the numerators 639 and 3 should be added.

642/9

The fraction value we get is 642/9.

On simplifying the fraction,we get:

214/3

After converting the Mixed Number 71 3/9 to the Improper Fraction,the result is 214/3.

Multiplying fractions 542/9 and 214/3

The given fractions are 542/9 and 214/3

Firstly the numerators 542 and 214 are multiplied and

Then the denominators 9 and 3 are multiplied

= 542 x 214/9 x 3

= 115988/27

The Fraction Value we get,

Result: 115988/27

In order to get the Mixed Number,we need to divide 115988 ÷ 27 to get the Quotient and Remainder

115988 divided by 27 using long division

The given Divisor = 27 and Dividend = 115988

4295
27115988
108
79
54
258
243
158
135
23

The Quotient is 4295 and the Remainder is 23

We get the Quotient = 4295 and Remainder = 23

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

Result: 4295 23/27