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Finding the Multiplication of Mixed Numbers 904/7 and 615/7

Determine the Multiplication of Mixed Numbers 904/7 and 615/7 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Multiplication of Mixed Numbers 904/7 and 615/7

The given mixed numbers are 904/7 and 615/7

Converting 904/7 mix number to fraction

Given Mixed Number is 90 4/7

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

The Whole Number is 90 and the fractional part is 4/7.

On adding them, they can be written as:

90/1 + 4/7

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

The numerator of the first fraction 90 is multiplied with the denominator of the second fraction 7.

90 x 7 + 4/7

630 + 4/7

After multiplying, the numerators 630 and 4 should be added.

634/7

The fraction value we get is 634/7.

After converting the Mixed Number 90 4/7 to the Improper Fraction,the result is 634/7.

Converting 615/7 mix number to fraction

Given Mixed Number is 61 5/7

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

The Whole Number is 61 and the fractional part is 5/7.

On adding them, they can be written as:

61/1 + 5/7

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

The numerator of the first fraction 61 is multiplied with the denominator of the second fraction 7.

61 x 7 + 5/7

427 + 5/7

After multiplying, the numerators 427 and 5 should be added.

432/7

The fraction value we get is 432/7.

After converting the Mixed Number 61 5/7 to the Improper Fraction,the result is 432/7.

Multiplying fractions 634/7 and 432/7

The given fractions are 634/7 and 432/7

Firstly the numerators 634 and 432 are multiplied and

Then the denominators 7 and 7 are multiplied

= 634 x 432/7 x 7

= 273888/49

The Fraction Value we get,

Result: 273888/49

In order to get the Mixed Number,we need to divide 273888 ÷ 49 to get the Quotient and Remainder

273888 divided by 49 using long division

The given Divisor = 49 and Dividend = 273888

5589
49273888
245
288
245
438
392
468
441
27

The Quotient is 5589 and the Remainder is 27

We get the Quotient = 5589 and Remainder = 27

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

Result: 5589 27/49