Finding the Multiplication of Mixed Numbers 33/5 and 63/6

The given mixed numbers are 33/5 and 63/6

Converting 33/5 mix number to fraction

Given Mixed Number is 3 3/5

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

The Whole Number is 3 and the fractional part is 3/5.

On adding them, they can be written as:

3/1 + 3/5

The L.C.M of the denominators 1 and 5 is 5.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 5.

3 x 5 + 3/5

15 + 3/5

After multiplying, the numerators 15 and 3 should be added.

18/5

The fraction value we get is 18/5.

After converting the Mixed Number 3 3/5 to the Improper Fraction,the result is 18/5.

Converting 63/6 mix number to fraction

Given Mixed Number is 6 3/6

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

The Whole Number is 6 and the fractional part is 3/6.

On adding them, they can be written as:

6/1 + 3/6

The L.C.M of the denominators 1 and 6 is 6.

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 6.

6 x 6 + 3/6

36 + 3/6

After multiplying, the numerators 36 and 3 should be added.

39/6

The fraction value we get is 39/6.

On simplifying the fraction,we get:

13/2

After converting the Mixed Number 6 3/6 to the Improper Fraction,the result is 13/2.

Multiplying fractions 18/5 and 13/2

The given fractions are 18/5 and 13/2

Firstly the numerators 18 and 13 are multiplied and

Then the denominators 5 and 2 are multiplied

= 18 x 13/5 x 2

= 234/10

117/5

The Fraction Value we get,

Result: 117/5

In order to get the Mixed Number,we need to divide 117 ÷ 5 to get the Quotient and Remainder

We get the Quotient = 23 and Remainder = 2

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

Result: 23 2/5