Finding the Multiplication of Mixed Numbers 47/16 and 44/67

The given mixed numbers are 47/16 and 44/67

Converting 47/16 mix number to fraction

Given Mixed Number is 4 7/16

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

The Whole Number is 4 and the fractional part is 7/16.

On adding them, they can be written as:

4/1 + 7/16

The L.C.M of the denominators 1 and 16 is 16.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 16.

4 x 16 + 7/16

64 + 7/16

After multiplying, the numerators 64 and 7 should be added.

71/16

The fraction value we get is 71/16.

After converting the Mixed Number 4 7/16 to the Improper Fraction,the result is 71/16.

Converting 44/67 mix number to fraction

Given Mixed Number is 4 4/67

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

The Whole Number is 4 and the fractional part is 4/67.

On adding them, they can be written as:

4/1 + 4/67

The L.C.M of the denominators 1 and 67 is 67.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 67.

4 x 67 + 4/67

268 + 4/67

After multiplying, the numerators 268 and 4 should be added.

272/67

The fraction value we get is 272/67.

After converting the Mixed Number 4 4/67 to the Improper Fraction,the result is 272/67.

Multiplying fractions 71/16 and 272/67

The given fractions are 71/16 and 272/67

Firstly the numerators 71 and 272 are multiplied and

Then the denominators 16 and 67 are multiplied

= 71 x 272/16 x 67

= 19312/1072

1207/67

The Fraction Value we get,

Result: 1207/67

In order to get the Mixed Number,we need to divide 1207 ÷ 67 to get the Quotient and Remainder

We get the Quotient = 18 and Remainder = 1

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

Result: 18 1/67