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Finding the Difference of Mixed Numbers 375/7 and 334/6

Determine the Difference of Mixed Numbers 375/7 and 334/6 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Difference of Mixed Numbers 375/7 and 334/6

The given mixed numbers are 375/7 and 334/6

Converting 375/7 mix number to fraction

Given Mixed Number is 37 5/7

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

The Whole Number is 37 and the fractional part is 5/7.

On adding them, they can be written as:

37/1 + 5/7

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

The numerator of the first fraction 37 is multiplied with the denominator of the second fraction 7.

37 x 7 + 5/7

259 + 5/7

After multiplying, the numerators 259 and 5 should be added.

264/7

The fraction value we get is 264/7.

After converting the Mixed Number 37 5/7 to the Improper Fraction,the result is 264/7.

Converting 334/6 mix number to fraction

Given Mixed Number is 33 4/6

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

The Whole Number is 33 and the fractional part is 4/6.

On adding them, they can be written as:

33/1 + 4/6

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

The numerator of the first fraction 33 is multiplied with the denominator of the second fraction 6.

33 x 6 + 4/6

198 + 4/6

After multiplying, the numerators 198 and 4 should be added.

202/6

The fraction value we get is 202/6.

On simplifying the fraction,we get:

101/3

After converting the Mixed Number 33 4/6 to the Improper Fraction,the result is 101/3.

Subtracting fractions 264/7 and 101/3

The given fractions are 264/7 and 101/3

Firstly the L.C.M should be done for the denominators of the two fractions 264/7 and 101/3

264/7 - 101/3

The LCM of 7 and 3 (denominators of the fractions) is 21

Given numbers has no common factors except 1. So, there LCM is their product i.e 21


= 264 x 3 - 101 x 7/21

= 792 - 707/21

= 85/21

Result: 85/21

In order to get the Mixed Number,we need to divide 85 ÷ 21 to get the Quotient and Remainder

85 divided by 21 using long division

The given Divisor = 21 and Dividend = 85

4
2185
84
1

The Quotient is 4 and the Remainder is 1

We get the Quotient = 4 and Remainder = 1

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

Result: 4 1/21