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Finding the Multiplication of Mixed Numbers 13/4 and 27/8

Determine the Multiplication of Mixed Numbers 13/4 and 27/8 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Multiplication of Mixed Numbers 13/4 and 27/8

The given mixed numbers are 13/4 and 27/8

Converting 13/4 mix number to fraction

Given Mixed Number is 1 3/4

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

The Whole Number is 1 and the fractional part is 3/4.

On adding them, they can be written as:

1/1 + 3/4

The L.C.M of the denominators 1 and 4 is 4.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 4.

1 x 4 + 3/4

4 + 3/4

After multiplying, the numerators 4 and 3 should be added.

7/4

The fraction value we get is 7/4.

After converting the Mixed Number 1 3/4 to the Improper Fraction,the result is 7/4.

Converting 27/8 mix number to fraction

Given Mixed Number is 2 7/8

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

The Whole Number is 2 and the fractional part is 7/8.

On adding them, they can be written as:

2/1 + 7/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 8.

2 x 8 + 7/8

16 + 7/8

After multiplying, the numerators 16 and 7 should be added.

23/8

The fraction value we get is 23/8.

After converting the Mixed Number 2 7/8 to the Improper Fraction,the result is 23/8.

Multiplying fractions 7/4 and 23/8

The given fractions are 7/4 and 23/8

Firstly the numerators 7 and 23 are multiplied and

Then the denominators 4 and 8 are multiplied

= 7 x 23/4 x 8

= 161/32

The Fraction Value we get,

Result: 161/32

In order to get the Mixed Number,we need to divide 161 ÷ 32 to get the Quotient and Remainder

161 divided by 32 using long division

The given Divisor = 32 and Dividend = 161

5
32161
160
1

The Quotient is 5 and the Remainder is 1

We get the Quotient = 5 and Remainder = 1

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

Result: 5 1/32