Finding the Difference of Mixed Numbers 824/56 and 133/65
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 | ||||||
4 | 5 | 5 | 3 | 1 | 4 | 9 |
2 | 7 | 3 | 0 | |||
4 | 1 | 9 |
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