Finding the Division of Mixed Numbers 325/49 and 425/47

The given mixed numbers are 325/49 and 425/47

Converting 325/49 mix number to fraction

Given Mixed Number is 3 25/49

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

The Whole Number is 3 and the fractional part is 25/49.

On adding them, they can be written as:

3/1 + 25/49

The L.C.M of the denominators 1 and 49 is 49.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 49.

3 x 49 + 25/49

147 + 25/49

After multiplying, the numerators 147 and 25 should be added.

172/49

The fraction value we get is 172/49.

After converting the Mixed Number 3 25/49 to the Improper Fraction,the result is 172/49.

Converting 425/47 mix number to fraction

Given Mixed Number is 4 25/47

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

The Whole Number is 4 and the fractional part is 25/47.

On adding them, they can be written as:

4/1 + 25/47

The L.C.M of the denominators 1 and 47 is 47.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 47.

4 x 47 + 25/47

188 + 25/47

After multiplying, the numerators 188 and 25 should be added.

213/47

The fraction value we get is 213/47.

After converting the Mixed Number 4 25/47 to the Improper Fraction,the result is 213/47.

Dividing fractions 172/49 and 213/47

The given fractions are 172/49 and 213/47

On dividing the both fractions,172/49 ÷ 213/47

Then the denominator of the first fraction i.e., 49 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., 47 will comes to the numerator of the first fraction and gets multiplied:

172/49 ÷ 213/47 = 172 x 47/49 x 213

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

8084/10437

Result: 8084/10437