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 | ||||||
9 | 9 | 2 | 3 | 9 | 3 | 1 |
2 | 9 | 7 | 6 | |||
9 | 5 | 5 |
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