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Finding the Difference of Mixed Numbers 67/87 and 33/17

Determine the Difference of Mixed Numbers 67/87 and 33/17 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Difference of Mixed Numbers 67/87 and 33/17

The given mixed numbers are 67/87 and 33/17

Converting 67/87 mix number to fraction

Given Mixed Number is 6 7/87

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

The Whole Number is 6 and the fractional part is 7/87.

On adding them, they can be written as:

6/1 + 7/87

The L.C.M of the denominators 1 and 87 is 87.

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 87.

6 x 87 + 7/87

522 + 7/87

After multiplying, the numerators 522 and 7 should be added.

529/87

The fraction value we get is 529/87.

After converting the Mixed Number 6 7/87 to the Improper Fraction,the result is 529/87.

Converting 33/17 mix number to fraction

Given Mixed Number is 3 3/17

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

The Whole Number is 3 and the fractional part is 3/17.

On adding them, they can be written as:

3/1 + 3/17

The L.C.M of the denominators 1 and 17 is 17.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 17.

3 x 17 + 3/17

51 + 3/17

After multiplying, the numerators 51 and 3 should be added.

54/17

The fraction value we get is 54/17.

After converting the Mixed Number 3 3/17 to the Improper Fraction,the result is 54/17.

Subtracting fractions 529/87 and 54/17

The given fractions are 529/87 and 54/17

Firstly the L.C.M should be done for the denominators of the two fractions 529/87 and 54/17

529/87 - 54/17

The LCM of 87 and 17 (denominators of the fractions) is 1479

Given numbers has no common factors except 1. So, there LCM is their product i.e 1479


= 529 x 17 - 54 x 87/1479

= 8993 - 4698/1479

= 4295/1479

Result: 4295/1479

In order to get the Mixed Number,we need to divide 4295 ÷ 1479 to get the Quotient and Remainder

4295 divided by 1479 using long division

The given Divisor = 1479 and Dividend = 4295

2
14794295
2958
1337

The Quotient is 2 and the Remainder is 1337

We get the Quotient = 2 and Remainder = 1337

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

Result: 2 1337/1479