Finding the Multiplication of Mixed Numbers 81/83 and 29/74

The given mixed numbers are 81/83 and 29/74

Converting 81/83 mix number to fraction

Given Mixed Number is 8 1/83

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

The Whole Number is 8 and the fractional part is 1/83.

On adding them, they can be written as:

8/1 + 1/83

The L.C.M of the denominators 1 and 83 is 83.

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 83.

8 x 83 + 1/83

664 + 1/83

After multiplying, the numerators 664 and 1 should be added.

665/83

The fraction value we get is 665/83.

After converting the Mixed Number 8 1/83 to the Improper Fraction,the result is 665/83.

Converting 29/74 mix number to fraction

Given Mixed Number is 2 9/74

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

The Whole Number is 2 and the fractional part is 9/74.

On adding them, they can be written as:

2/1 + 9/74

The L.C.M of the denominators 1 and 74 is 74.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 74.

2 x 74 + 9/74

148 + 9/74

After multiplying, the numerators 148 and 9 should be added.

157/74

The fraction value we get is 157/74.

After converting the Mixed Number 2 9/74 to the Improper Fraction,the result is 157/74.

Multiplying fractions 665/83 and 157/74

The given fractions are 665/83 and 157/74

Firstly the numerators 665 and 157 are multiplied and

Then the denominators 83 and 74 are multiplied

= 665 x 157/83 x 74

= 104405/6142

The Fraction Value we get,

Result: 104405/6142

In order to get the Mixed Number,we need to divide 104405 ÷ 6142 to get the Quotient and Remainder

We get the Quotient = 16 and Remainder = 6133

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

Result: 16 6133/6142