Finding the Multiplication of Mixed Numbers 311/52 and 112/47

The given mixed numbers are 311/52 and 112/47

Converting 311/52 mix number to fraction

Given Mixed Number is 3 11/52

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

The Whole Number is 3 and the fractional part is 11/52.

On adding them, they can be written as:

3/1 + 11/52

The L.C.M of the denominators 1 and 52 is 52.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 52.

3 x 52 + 11/52

156 + 11/52

After multiplying, the numerators 156 and 11 should be added.

167/52

The fraction value we get is 167/52.

After converting the Mixed Number 3 11/52 to the Improper Fraction,the result is 167/52.

Converting 112/47 mix number to fraction

Given Mixed Number is 1 12/47

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

The Whole Number is 1 and the fractional part is 12/47.

On adding them, they can be written as:

1/1 + 12/47

The L.C.M of the denominators 1 and 47 is 47.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 47.

1 x 47 + 12/47

47 + 12/47

After multiplying, the numerators 47 and 12 should be added.

59/47

The fraction value we get is 59/47.

After converting the Mixed Number 1 12/47 to the Improper Fraction,the result is 59/47.

Multiplying fractions 167/52 and 59/47

The given fractions are 167/52 and 59/47

Firstly the numerators 167 and 59 are multiplied and

Then the denominators 52 and 47 are multiplied

= 167 x 59/52 x 47

= 9853/2444

The Fraction Value we get,

Result: 9853/2444

In order to get the Mixed Number,we need to divide 9853 ÷ 2444 to get the Quotient and Remainder

We get the Quotient = 4 and Remainder = 77

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

Result: 4 77/2444