Finding the Division of Mixed Numbers 33/90 and 49/16

The given mixed numbers are 33/90 and 49/16

Converting 33/90 mix number to fraction

Given Mixed Number is 3 3/90

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

The Whole Number is 3 and the fractional part is 3/90.

On adding them, they can be written as:

3/1 + 3/90

The L.C.M of the denominators 1 and 90 is 90.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 90.

3 x 90 + 3/90

270 + 3/90

After multiplying, the numerators 270 and 3 should be added.

273/90

The fraction value we get is 273/90.

On simplifying the fraction,we get:

91/30

After converting the Mixed Number 3 3/90 to the Improper Fraction,the result is 91/30.

Converting 49/16 mix number to fraction

Given Mixed Number is 4 9/16

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

The Whole Number is 4 and the fractional part is 9/16.

On adding them, they can be written as:

4/1 + 9/16

The L.C.M of the denominators 1 and 16 is 16.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 16.

4 x 16 + 9/16

64 + 9/16

After multiplying, the numerators 64 and 9 should be added.

73/16

The fraction value we get is 73/16.

After converting the Mixed Number 4 9/16 to the Improper Fraction,the result is 73/16.

Dividing fractions 91/30 and 73/16

The given fractions are 91/30 and 73/16

On dividing the both fractions,91/30 ÷ 73/16

Then the denominator of the first fraction i.e., 30 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., 16 will comes to the numerator of the first fraction and gets multiplied:

91/30 ÷ 73/16 = 91 x 16/30 x 73

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

1456/2190

Result: 728/1095