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Finding the Difference of Mixed Numbers 32/5 and 42/9

Determine the Difference of Mixed Numbers 32/5 and 42/9 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Difference of Mixed Numbers 32/5 and 42/9

The given mixed numbers are 32/5 and 42/9

Converting 32/5 mix number to fraction

Given Mixed Number is 3 2/5

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

The Whole Number is 3 and the fractional part is 2/5.

On adding them, they can be written as:

3/1 + 2/5

The L.C.M of the denominators 1 and 5 is 5.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 5.

3 x 5 + 2/5

15 + 2/5

After multiplying, the numerators 15 and 2 should be added.

17/5

The fraction value we get is 17/5.

After converting the Mixed Number 3 2/5 to the Improper Fraction,the result is 17/5.

Converting 42/9 mix number to fraction

Given Mixed Number is 4 2/9

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

The Whole Number is 4 and the fractional part is 2/9.

On adding them, they can be written as:

4/1 + 2/9

The L.C.M of the denominators 1 and 9 is 9.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 9.

4 x 9 + 2/9

36 + 2/9

After multiplying, the numerators 36 and 2 should be added.

38/9

The fraction value we get is 38/9.

After converting the Mixed Number 4 2/9 to the Improper Fraction,the result is 38/9.

Subtracting fractions 17/5 and 38/9

The given fractions are 17/5 and 38/9

Firstly the L.C.M should be done for the denominators of the two fractions 17/5 and 38/9

17/5 - 38/9

The LCM of 5 and 9 (denominators of the fractions) is 45

Given numbers has no common factors except 1. So, there LCM is their product i.e 45


= 17 x 9 - 38 x 5/45

= 153 - 190/45

= -37/45

Result: -37/45