Finding the Multiplication of Mixed Numbers 215/7 and 184/7

The given mixed numbers are 215/7 and 184/7

Converting 215/7 mix number to fraction

Given Mixed Number is 21 5/7

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

The Whole Number is 21 and the fractional part is 5/7.

On adding them, they can be written as:

21/1 + 5/7

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

The numerator of the first fraction 21 is multiplied with the denominator of the second fraction 7.

21 x 7 + 5/7

147 + 5/7

After multiplying, the numerators 147 and 5 should be added.

152/7

The fraction value we get is 152/7.

After converting the Mixed Number 21 5/7 to the Improper Fraction,the result is 152/7.

Converting 184/7 mix number to fraction

Given Mixed Number is 18 4/7

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

The Whole Number is 18 and the fractional part is 4/7.

On adding them, they can be written as:

18/1 + 4/7

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

The numerator of the first fraction 18 is multiplied with the denominator of the second fraction 7.

18 x 7 + 4/7

126 + 4/7

After multiplying, the numerators 126 and 4 should be added.

130/7

The fraction value we get is 130/7.

After converting the Mixed Number 18 4/7 to the Improper Fraction,the result is 130/7.

Multiplying fractions 152/7 and 130/7

The given fractions are 152/7 and 130/7

Firstly the numerators 152 and 130 are multiplied and

Then the denominators 7 and 7 are multiplied

= 152 x 130/7 x 7

= 19760/49

The Fraction Value we get,

Result: 19760/49

In order to get the Mixed Number,we need to divide 19760 ÷ 49 to get the Quotient and Remainder

We get the Quotient = 403 and Remainder = 13

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

Result: 403 13/49