Finding the Sum of Mixed Numbers 55/7 and 65/7

The given mixed numbers are 55/7 and 65/7

Converting 55/7 mix number to fraction

Given Mixed Number is 5 5/7

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

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

On adding them, they can be written as:

5/1 + 5/7

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

The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 7.

5 x 7 + 5/7

35 + 5/7

After multiplying, the numerators 35 and 5 should be added.

40/7

The fraction value we get is 40/7.

After converting the Mixed Number 5 5/7 to the Improper Fraction,the result is 40/7.

Converting 65/7 mix number to fraction

Given Mixed Number is 6 5/7

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

The Whole Number is 6 and the fractional part is 5/7.

On adding them, they can be written as:

6/1 + 5/7

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

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 7.

6 x 7 + 5/7

42 + 5/7

After multiplying, the numerators 42 and 5 should be added.

47/7

The fraction value we get is 47/7.

After converting the Mixed Number 6 5/7 to the Improper Fraction,the result is 47/7.

Adding fractions 40/7 and 47/7

The given fractions are 40/7 and 47/7

Firstly the L.C.M should be done for the denominators of the two fractions 40/7 and 47/7

40/7+47/7

If the L.C.M of the denominators of the both fractions 40/7 and 47/7 are same, the numerators are added directly taking the similar integer as the denominator

= 40 + 47/7

= 87/7

Result: 87/7

In order to get the Mixed Number,we need to divide 87 ÷ 7 to get the Quotient and Remainder

We get the Quotient = 12 and Remainder = 3

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

Result: 12 3/7