Determine the Difference of Mixed Numbers 824/56 and 133/65 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Difference of Mixed Numbers 824/56 and 133/65

The given mixed numbers are 824/56 and 133/65

Converting 824/56 mix number to fraction

Given Mixed Number is 8 24/56

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

The Whole Number is 8 and the fractional part is 24/56.

On adding them, they can be written as:

8/1 + 24/56

The L.C.M of the denominators 1 and 56 is 56.

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 56.

8 x 56 + 24/56

448 + 24/56

After multiplying, the numerators 448 and 24 should be added.

472/56

The fraction value we get is 472/56.

On simplifying the fraction,we get:

59/7

After converting the Mixed Number 8 24/56 to the Improper Fraction,the result is 59/7.

Converting 133/65 mix number to fraction

Given Mixed Number is 1 33/65

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

The Whole Number is 1 and the fractional part is 33/65.

On adding them, they can be written as:

1/1 + 33/65

The L.C.M of the denominators 1 and 65 is 65.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 65.

1 x 65 + 33/65

65 + 33/65

After multiplying, the numerators 65 and 33 should be added.

98/65

The fraction value we get is 98/65.

After converting the Mixed Number 1 33/65 to the Improper Fraction,the result is 98/65.

Subtracting fractions 59/7 and 98/65

The given fractions are 59/7 and 98/65

Firstly the L.C.M should be done for the denominators of the two fractions 59/7 and 98/65

59/7 - 98/65

The LCM of 7 and 65 (denominators of the fractions) is 455

Given numbers has no common factors except 1. So, there LCM is their product i.e 455


= 59 x 65 - 98 x 7/455

= 3835 - 686/455

= 3149/455

Result: 3149/455

In order to get the Mixed Number,we need to divide 3149 ÷ 455 to get the Quotient and Remainder

3149 divided by 455 using long division

The given Divisor = 455 and Dividend = 3149

6
4553149
2730
419

The Quotient is 6 and the Remainder is 419

We get the Quotient = 6 and Remainder = 419

∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator

Result: 6 419/455