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Finding the Difference of Mixed Numbers 53/5 and 84/9

Determine the Difference of Mixed Numbers 53/5 and 84/9 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Difference of Mixed Numbers 53/5 and 84/9

The given mixed numbers are 53/5 and 84/9

Converting 53/5 mix number to fraction

Given Mixed Number is 5 3/5

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

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

On adding them, they can be written as:

5/1 + 3/5

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

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

5 x 5 + 3/5

25 + 3/5

After multiplying, the numerators 25 and 3 should be added.

28/5

The fraction value we get is 28/5.

After converting the Mixed Number 5 3/5 to the Improper Fraction,the result is 28/5.

Converting 84/9 mix number to fraction

Given Mixed Number is 8 4/9

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

The Whole Number is 8 and the fractional part is 4/9.

On adding them, they can be written as:

8/1 + 4/9

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

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 9.

8 x 9 + 4/9

72 + 4/9

After multiplying, the numerators 72 and 4 should be added.

76/9

The fraction value we get is 76/9.

After converting the Mixed Number 8 4/9 to the Improper Fraction,the result is 76/9.

Subtracting fractions 28/5 and 76/9

The given fractions are 28/5 and 76/9

Firstly the L.C.M should be done for the denominators of the two fractions 28/5 and 76/9

28/5 - 76/9

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


= 28 x 9 - 76 x 5/45

= 252 - 380/45

= -128/45

Result: -128/45