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Finding the Difference of Mixed Numbers 551/7 and 591/6

Determine the Difference of Mixed Numbers 551/7 and 591/6 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Difference of Mixed Numbers 551/7 and 591/6

The given mixed numbers are 551/7 and 591/6

Converting 551/7 mix number to fraction

Given Mixed Number is 55 1/7

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

The Whole Number is 55 and the fractional part is 1/7.

On adding them, they can be written as:

55/1 + 1/7

The L.C.M of the denominators 1 and 7 is 7.

The numerator of the first fraction 55 is multiplied with the denominator of the second fraction 7.

55 x 7 + 1/7

385 + 1/7

After multiplying, the numerators 385 and 1 should be added.

386/7

The fraction value we get is 386/7.

After converting the Mixed Number 55 1/7 to the Improper Fraction,the result is 386/7.

Converting 591/6 mix number to fraction

Given Mixed Number is 59 1/6

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

The Whole Number is 59 and the fractional part is 1/6.

On adding them, they can be written as:

59/1 + 1/6

The L.C.M of the denominators 1 and 6 is 6.

The numerator of the first fraction 59 is multiplied with the denominator of the second fraction 6.

59 x 6 + 1/6

354 + 1/6

After multiplying, the numerators 354 and 1 should be added.

355/6

The fraction value we get is 355/6.

After converting the Mixed Number 59 1/6 to the Improper Fraction,the result is 355/6.

Subtracting fractions 386/7 and 355/6

The given fractions are 386/7 and 355/6

Firstly the L.C.M should be done for the denominators of the two fractions 386/7 and 355/6

386/7 - 355/6

The LCM of 7 and 6 (denominators of the fractions) is 42

Given numbers has no common factors except 1. So, there LCM is their product i.e 42


= 386 x 6 - 355 x 7/42

= 2316 - 2485/42

= -169/42

Result: -169/42