Finding the Multiplication of Mixed Numbers 54/8 and 55/8

The given mixed numbers are 54/8 and 55/8

Converting 54/8 mix number to fraction

Given Mixed Number is 5 4/8

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

The Whole Number is 5 and the fractional part is 4/8.

On adding them, they can be written as:

5/1 + 4/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 8.

5 x 8 + 4/8

40 + 4/8

After multiplying, the numerators 40 and 4 should be added.

44/8

The fraction value we get is 44/8.

On simplifying the fraction,we get:

11/2

After converting the Mixed Number 5 4/8 to the Improper Fraction,the result is 11/2.

Converting 55/8 mix number to fraction

Given Mixed Number is 5 5/8

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

The Whole Number is 5 and the fractional part is 5/8.

On adding them, they can be written as:

5/1 + 5/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 8.

5 x 8 + 5/8

40 + 5/8

After multiplying, the numerators 40 and 5 should be added.

45/8

The fraction value we get is 45/8.

After converting the Mixed Number 5 5/8 to the Improper Fraction,the result is 45/8.

Multiplying fractions 11/2 and 45/8

The given fractions are 11/2 and 45/8

Firstly the numerators 11 and 45 are multiplied and

Then the denominators 2 and 8 are multiplied

= 11 x 45/2 x 8

= 495/16

The Fraction Value we get,

Result: 495/16

In order to get the Mixed Number,we need to divide 495 ÷ 16 to get the Quotient and Remainder

We get the Quotient = 30 and Remainder = 15

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

Result: 30 15/16