Finding the Difference of Mixed Numbers 928/71 and 340/83
Determine the Difference of Mixed Numbers 928/71 and 340/83 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Difference of Mixed Numbers 928/71 and 340/83
The given mixed numbers are 928/71 and 340/83
Converting 928/71 mix number to fraction
Given Mixed Number is 9 28/71
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 9 and the fractional part is 28/71.
On adding them, they can be written as:
9/1 + 28/71
The L.C.M of the denominators 1 and 71 is 71.
The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 71.
9 x 71 + 28/71
639 + 28/71
After multiplying, the numerators 639 and 28 should be added.
667/71
The fraction value we get is 667/71.
After converting the Mixed Number 9 28/71 to the Improper Fraction,the result is 667/71.
Converting 340/83 mix number to fraction
Given Mixed Number is 3 40/83
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 3 and the fractional part is 40/83.
On adding them, they can be written as:
3/1 + 40/83
The L.C.M of the denominators 1 and 83 is 83.
The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 83.
3 x 83 + 40/83
249 + 40/83
After multiplying, the numerators 249 and 40 should be added.
289/83
The fraction value we get is 289/83.
After converting the Mixed Number 3 40/83 to the Improper Fraction,the result is 289/83.
Subtracting fractions 667/71 and 289/83
The given fractions are 667/71 and 289/83
Firstly the L.C.M should be done for the denominators of the two fractions 667/71 and 289/83
667/71 - 289/83
The LCM of 71 and 83 (denominators of the fractions) is 5893
Given numbers has no common factors except 1. So, there LCM is their product i.e 5893
= 667 x 83 - 289 x 71/5893
= 55361 - 20519/5893
= 34842/5893
Result: 34842/5893
In order to get the Mixed Number,we need to divide 34842 ÷ 5893 to get the Quotient and Remainder
34842 divided by 5893 using long division
The given Divisor = 5893 and Dividend = 34842
| 5 | ||||||||
| 5 | 8 | 9 | 3 | 3 | 4 | 8 | 4 | 2 |
| 2 | 9 | 4 | 6 | 5 | ||||
| 5 | 3 | 7 | 7 |
The Quotient is 5 and the Remainder is 5377
We get the Quotient = 5 and Remainder = 5377
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 5 5377/5893