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Finding the Multiplication of Mixed Numbers 24/6 and 15/7

Determine the Multiplication of Mixed Numbers 24/6 and 15/7 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Multiplication of Mixed Numbers 24/6 and 15/7

The given mixed numbers are 24/6 and 15/7

Converting 24/6 mix number to fraction

Given Mixed Number is 2 4/6

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

The Whole Number is 2 and the fractional part is 4/6.

On adding them, they can be written as:

2/1 + 4/6

The L.C.M of the denominators 1 and 6 is 6.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 6.

2 x 6 + 4/6

12 + 4/6

After multiplying, the numerators 12 and 4 should be added.

16/6

The fraction value we get is 16/6.

On simplifying the fraction,we get:

8/3

After converting the Mixed Number 2 4/6 to the Improper Fraction,the result is 8/3.

Converting 15/7 mix number to fraction

Given Mixed Number is 1 5/7

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

The Whole Number is 1 and the fractional part is 5/7.

On adding them, they can be written as:

1/1 + 5/7

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

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 7.

1 x 7 + 5/7

7 + 5/7

After multiplying, the numerators 7 and 5 should be added.

12/7

The fraction value we get is 12/7.

After converting the Mixed Number 1 5/7 to the Improper Fraction,the result is 12/7.

Multiplying fractions 8/3 and 12/7

The given fractions are 8/3 and 12/7

Firstly the numerators 8 and 12 are multiplied and

Then the denominators 3 and 7 are multiplied

= 8 x 12/3 x 7

= 96/21

32/7

The Fraction Value we get,

Result: 32/7

In order to get the Mixed Number,we need to divide 32 ÷ 7 to get the Quotient and Remainder

32 divided by 7 using long division

The given Divisor = 7 and Dividend = 32

4
732
28
4

The Quotient is 4 and the Remainder is 4

We get the Quotient = 4 and Remainder = 4

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

Result: 4 4/7