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Finding the Difference of Mixed Numbers 218/48 and 413/53

Determine the Difference of Mixed Numbers 218/48 and 413/53 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Difference of Mixed Numbers 218/48 and 413/53

The given mixed numbers are 218/48 and 413/53

Converting 218/48 mix number to fraction

Given Mixed Number is 2 18/48

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

The Whole Number is 2 and the fractional part is 18/48.

On adding them, they can be written as:

2/1 + 18/48

The L.C.M of the denominators 1 and 48 is 48.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 48.

2 x 48 + 18/48

96 + 18/48

After multiplying, the numerators 96 and 18 should be added.

114/48

The fraction value we get is 114/48.

On simplifying the fraction,we get:

19/8

After converting the Mixed Number 2 18/48 to the Improper Fraction,the result is 19/8.

Converting 413/53 mix number to fraction

Given Mixed Number is 4 13/53

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

The Whole Number is 4 and the fractional part is 13/53.

On adding them, they can be written as:

4/1 + 13/53

The L.C.M of the denominators 1 and 53 is 53.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 53.

4 x 53 + 13/53

212 + 13/53

After multiplying, the numerators 212 and 13 should be added.

225/53

The fraction value we get is 225/53.

After converting the Mixed Number 4 13/53 to the Improper Fraction,the result is 225/53.

Subtracting fractions 19/8 and 225/53

The given fractions are 19/8 and 225/53

Firstly the L.C.M should be done for the denominators of the two fractions 19/8 and 225/53

19/8 - 225/53

The LCM of 8 and 53 (denominators of the fractions) is 424

Given numbers has no common factors except 1. So, there LCM is their product i.e 424


= 19 x 53 - 225 x 8/424

= 1007 - 1800/424

= -793/424

Result: -793/424