Finding the Division of Mixed Numbers 405/8 and 894/8

The given mixed numbers are 405/8 and 894/8

Converting 405/8 mix number to fraction

Given Mixed Number is 40 5/8

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

The Whole Number is 40 and the fractional part is 5/8.

On adding them, they can be written as:

40/1 + 5/8

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

The numerator of the first fraction 40 is multiplied with the denominator of the second fraction 8.

40 x 8 + 5/8

320 + 5/8

After multiplying, the numerators 320 and 5 should be added.

325/8

The fraction value we get is 325/8.

After converting the Mixed Number 40 5/8 to the Improper Fraction,the result is 325/8.

Converting 894/8 mix number to fraction

Given Mixed Number is 89 4/8

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

The Whole Number is 89 and the fractional part is 4/8.

On adding them, they can be written as:

89/1 + 4/8

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

The numerator of the first fraction 89 is multiplied with the denominator of the second fraction 8.

89 x 8 + 4/8

712 + 4/8

After multiplying, the numerators 712 and 4 should be added.

716/8

The fraction value we get is 716/8.

On simplifying the fraction,we get:

179/2

After converting the Mixed Number 89 4/8 to the Improper Fraction,the result is 179/2.

Dividing fractions 325/8 and 179/2

The given fractions are 325/8 and 179/2

On dividing the both fractions,325/8 ÷ 179/2

Then the denominator of the first fraction i.e., 8 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., 2 will comes to the numerator of the first fraction and gets multiplied:

325/8 ÷ 179/2 = 325 x 2/8 x 179

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

650/1432

Result: 325/716