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Finding the Difference of Mixed Numbers 19/11 and 413/17

Determine the Difference of Mixed Numbers 19/11 and 413/17 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Difference of Mixed Numbers 19/11 and 413/17

The given mixed numbers are 19/11 and 413/17

Converting 19/11 mix number to fraction

Given Mixed Number is 1 9/11

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

The Whole Number is 1 and the fractional part is 9/11.

On adding them, they can be written as:

1/1 + 9/11

The L.C.M of the denominators 1 and 11 is 11.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 11.

1 x 11 + 9/11

11 + 9/11

After multiplying, the numerators 11 and 9 should be added.

20/11

The fraction value we get is 20/11.

After converting the Mixed Number 1 9/11 to the Improper Fraction,the result is 20/11.

Converting 413/17 mix number to fraction

Given Mixed Number is 4 13/17

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

The Whole Number is 4 and the fractional part is 13/17.

On adding them, they can be written as:

4/1 + 13/17

The L.C.M of the denominators 1 and 17 is 17.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 17.

4 x 17 + 13/17

68 + 13/17

After multiplying, the numerators 68 and 13 should be added.

81/17

The fraction value we get is 81/17.

After converting the Mixed Number 4 13/17 to the Improper Fraction,the result is 81/17.

Subtracting fractions 20/11 and 81/17

The given fractions are 20/11 and 81/17

Firstly the L.C.M should be done for the denominators of the two fractions 20/11 and 81/17

20/11 - 81/17

The LCM of 11 and 17 (denominators of the fractions) is 187

Given numbers has no common factors except 1. So, there LCM is their product i.e 187


= 20 x 17 - 81 x 11/187

= 340 - 891/187

= -551/187

Result: -551/187