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Finding the Difference of Mixed Numbers 33/31 and 75/15

Determine the Difference of Mixed Numbers 33/31 and 75/15 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Difference of Mixed Numbers 33/31 and 75/15

The given mixed numbers are 33/31 and 75/15

Converting 33/31 mix number to fraction

Given Mixed Number is 3 3/31

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

The Whole Number is 3 and the fractional part is 3/31.

On adding them, they can be written as:

3/1 + 3/31

The L.C.M of the denominators 1 and 31 is 31.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 31.

3 x 31 + 3/31

93 + 3/31

After multiplying, the numerators 93 and 3 should be added.

96/31

The fraction value we get is 96/31.

After converting the Mixed Number 3 3/31 to the Improper Fraction,the result is 96/31.

Converting 75/15 mix number to fraction

Given Mixed Number is 7 5/15

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

The Whole Number is 7 and the fractional part is 5/15.

On adding them, they can be written as:

7/1 + 5/15

The L.C.M of the denominators 1 and 15 is 15.

The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 15.

7 x 15 + 5/15

105 + 5/15

After multiplying, the numerators 105 and 5 should be added.

110/15

The fraction value we get is 110/15.

On simplifying the fraction,we get:

22/3

After converting the Mixed Number 7 5/15 to the Improper Fraction,the result is 22/3.

Subtracting fractions 96/31 and 22/3

The given fractions are 96/31 and 22/3

Firstly the L.C.M should be done for the denominators of the two fractions 96/31 and 22/3

96/31 - 22/3

The LCM of 31 and 3 (denominators of the fractions) is 93

Given numbers has no common factors except 1. So, there LCM is their product i.e 93


= 96 x 3 - 22 x 31/93

= 288 - 682/93

= -394/93

Result: -394/93