Finding the Difference of Mixed Numbers 35/7 and 13/7

The given mixed numbers are 35/7 and 13/7

Converting 35/7 mix number to fraction

Given Mixed Number is 3 5/7

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

The Whole Number is 3 and the fractional part is 5/7.

On adding them, they can be written as:

3/1 + 5/7

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

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 7.

3 x 7 + 5/7

21 + 5/7

After multiplying, the numerators 21 and 5 should be added.

26/7

The fraction value we get is 26/7.

After converting the Mixed Number 3 5/7 to the Improper Fraction,the result is 26/7.

Converting 13/7 mix number to fraction

Given Mixed Number is 1 3/7

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

The Whole Number is 1 and the fractional part is 3/7.

On adding them, they can be written as:

1/1 + 3/7

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

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 7.

1 x 7 + 3/7

7 + 3/7

After multiplying, the numerators 7 and 3 should be added.

10/7

The fraction value we get is 10/7.

After converting the Mixed Number 1 3/7 to the Improper Fraction,the result is 10/7.

Subtracting fractions 26/7 and 10/7

The given fractions are 26/7 and 10/7

Firstly the L.C.M should be done for the denominators of the two fractions 26/7 and 10/7

26/7 - 10/7

If the L.C.M of the denominators of the both fractions 26/7 and 10/7 are same, the numerators are subtracted directly taking the similar integer as the denominator

= 26 - 10/7

= 16/7

Result: 16/7

In order to get the Mixed Number,we need to divide 16 ÷ 7 to get the Quotient and Remainder

We get the Quotient = 2 and Remainder = 2

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

Result: 2 2/7