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Finding the Multiplication of Mixed Numbers 514/8 and 955/8

Determine the Multiplication of Mixed Numbers 514/8 and 955/8 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Multiplication of Mixed Numbers 514/8 and 955/8

The given mixed numbers are 514/8 and 955/8

Converting 514/8 mix number to fraction

Given Mixed Number is 51 4/8

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

The Whole Number is 51 and the fractional part is 4/8.

On adding them, they can be written as:

51/1 + 4/8

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

The numerator of the first fraction 51 is multiplied with the denominator of the second fraction 8.

51 x 8 + 4/8

408 + 4/8

After multiplying, the numerators 408 and 4 should be added.

412/8

The fraction value we get is 412/8.

On simplifying the fraction,we get:

103/2

After converting the Mixed Number 51 4/8 to the Improper Fraction,the result is 103/2.

Converting 955/8 mix number to fraction

Given Mixed Number is 95 5/8

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

The Whole Number is 95 and the fractional part is 5/8.

On adding them, they can be written as:

95/1 + 5/8

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

The numerator of the first fraction 95 is multiplied with the denominator of the second fraction 8.

95 x 8 + 5/8

760 + 5/8

After multiplying, the numerators 760 and 5 should be added.

765/8

The fraction value we get is 765/8.

After converting the Mixed Number 95 5/8 to the Improper Fraction,the result is 765/8.

Multiplying fractions 103/2 and 765/8

The given fractions are 103/2 and 765/8

Firstly the numerators 103 and 765 are multiplied and

Then the denominators 2 and 8 are multiplied

= 103 x 765/2 x 8

= 78795/16

The Fraction Value we get,

Result: 78795/16

In order to get the Mixed Number,we need to divide 78795 ÷ 16 to get the Quotient and Remainder

78795 divided by 16 using long division

The given Divisor = 16 and Dividend = 78795

4924
1678795
64
147
144
39
32
75
64
11

The Quotient is 4924 and the Remainder is 11

We get the Quotient = 4924 and Remainder = 11

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

Result: 4924 11/16