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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
589334842
29465
5377

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