Finding the Division of Mixed Numbers 22/8 and 91/8

The given mixed numbers are 22/8 and 91/8

Converting 22/8 mix number to fraction

Given Mixed Number is 2 2/8

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

The Whole Number is 2 and the fractional part is 2/8.

On adding them, they can be written as:

2/1 + 2/8

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

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 8.

2 x 8 + 2/8

16 + 2/8

After multiplying, the numerators 16 and 2 should be added.

18/8

The fraction value we get is 18/8.

On simplifying the fraction,we get:

9/4

After converting the Mixed Number 2 2/8 to the Improper Fraction,the result is 9/4.

Converting 91/8 mix number to fraction

Given Mixed Number is 9 1/8

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

The Whole Number is 9 and the fractional part is 1/8.

On adding them, they can be written as:

9/1 + 1/8

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

The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 8.

9 x 8 + 1/8

72 + 1/8

After multiplying, the numerators 72 and 1 should be added.

73/8

The fraction value we get is 73/8.

After converting the Mixed Number 9 1/8 to the Improper Fraction,the result is 73/8.

Dividing fractions 9/4 and 73/8

The given fractions are 9/4 and 73/8

On dividing the both fractions,9/4 ÷ 73/8

Then the denominator of the first fraction i.e., 4 will comes to the numerator of the second fraction and gets multiplied,

And in the same way,the denominator of the second fraction i.e., 8 will comes to the numerator of the first fraction and gets multiplied:

9/4 ÷ 73/8 = 9 x 8/4 x 73

On Multiplying the denominators and the numerators,the fraction value we get,

72/292

Result: 18/73