Determine the Difference of Mixed Numbers 46/27 and 92/90 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Difference of Mixed Numbers 46/27 and 92/90

The given mixed numbers are 46/27 and 92/90

Converting 46/27 mix number to fraction

Given Mixed Number is 4 6/27

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

The Whole Number is 4 and the fractional part is 6/27.

On adding them, they can be written as:

4/1 + 6/27

The L.C.M of the denominators 1 and 27 is 27.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 27.

4 x 27 + 6/27

108 + 6/27

After multiplying, the numerators 108 and 6 should be added.

114/27

The fraction value we get is 114/27.

On simplifying the fraction,we get:

38/9

After converting the Mixed Number 4 6/27 to the Improper Fraction,the result is 38/9.

Converting 92/90 mix number to fraction

Given Mixed Number is 9 2/90

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

The Whole Number is 9 and the fractional part is 2/90.

On adding them, they can be written as:

9/1 + 2/90

The L.C.M of the denominators 1 and 90 is 90.

The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 90.

9 x 90 + 2/90

810 + 2/90

After multiplying, the numerators 810 and 2 should be added.

812/90

The fraction value we get is 812/90.

On simplifying the fraction,we get:

406/45

After converting the Mixed Number 9 2/90 to the Improper Fraction,the result is 406/45.

Subtracting fractions 38/9 and 406/45

The given fractions are 38/9 and 406/45

Firstly the L.C.M should be done for the denominators of the two fractions 38/9 and 406/45

38/9 - 406/45

The LCM of 9 and 45 (denominators of the fractions) is 45
3 9, 45
3 3, 15
1, 5

So the lcm of the given numbers is 3 x 3 x 1 x 5 = 45


= 38 x 5 - 406 x 1/45

= 190 - 406/45

= -216/45

= -24/5

Result: -24/5