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Finding the Difference of Mixed Numbers 647/96 and 249/93

Determine the Difference of Mixed Numbers 647/96 and 249/93 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Difference of Mixed Numbers 647/96 and 249/93

The given mixed numbers are 647/96 and 249/93

Converting 647/96 mix number to fraction

Given Mixed Number is 6 47/96

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

The Whole Number is 6 and the fractional part is 47/96.

On adding them, they can be written as:

6/1 + 47/96

The L.C.M of the denominators 1 and 96 is 96.

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 96.

6 x 96 + 47/96

576 + 47/96

After multiplying, the numerators 576 and 47 should be added.

623/96

The fraction value we get is 623/96.

After converting the Mixed Number 6 47/96 to the Improper Fraction,the result is 623/96.

Converting 249/93 mix number to fraction

Given Mixed Number is 2 49/93

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

The Whole Number is 2 and the fractional part is 49/93.

On adding them, they can be written as:

2/1 + 49/93

The L.C.M of the denominators 1 and 93 is 93.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 93.

2 x 93 + 49/93

186 + 49/93

After multiplying, the numerators 186 and 49 should be added.

235/93

The fraction value we get is 235/93.

After converting the Mixed Number 2 49/93 to the Improper Fraction,the result is 235/93.

Subtracting fractions 623/96 and 235/93

The given fractions are 623/96 and 235/93

Firstly the L.C.M should be done for the denominators of the two fractions 623/96 and 235/93

623/96 - 235/93

The LCM of 96 and 93 (denominators of the fractions) is 2976
3 96, 93
32, 31

So the lcm of the given numbers is 3 x 32 x 31 = 2976


= 623 x 31 - 235 x 32/2976

= 19313 - 7520/2976

= 11793/2976

= 3931/992

Result: 3931/992

In order to get the Mixed Number,we need to divide 3931 ÷ 992 to get the Quotient and Remainder

3931 divided by 992 using long division

The given Divisor = 992 and Dividend = 3931

3
9923931
2976
955

The Quotient is 3 and the Remainder is 955

We get the Quotient = 3 and Remainder = 955

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

Result: 3 955/992