# Finding the Sum of Mixed Numbers 23/6 and 32/5

Determine the Sum of Mixed Numbers 23/6 and 32/5 easily using the Mixed Numbers Calculator and get the step by step process involved.

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## Elaborate Solution to find Sum of Mixed Numbers 23/6 and 32/5

The given mixed numbers are 23/6 and 32/5

Converting 23/6 mix number to fraction

Given Mixed Number is 2 3/6

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

The Whole Number is 2 and the fractional part is 3/6.

On adding them, they can be written as:

2/1 + 3/6

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

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 6.

2 x 6 + 3/6

12 + 3/6

After multiplying, the numerators 12 and 3 should be added.

15/6

The fraction value we get is 15/6.

On simplifying the fraction,we get:

5/2

After converting the Mixed Number 2 3/6 to the Improper Fraction,the result is 5/2.

Converting 32/5 mix number to fraction

Given Mixed Number is 3 2/5

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

The Whole Number is 3 and the fractional part is 2/5.

On adding them, they can be written as:

3/1 + 2/5

The L.C.M of the denominators 1 and 5 is 5.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 5.

3 x 5 + 2/5

15 + 2/5

After multiplying, the numerators 15 and 2 should be added.

17/5

The fraction value we get is 17/5.

After converting the Mixed Number 3 2/5 to the Improper Fraction,the result is 17/5.

The given fractions are 5/2 and 17/5

Firstly the L.C.M should be done for the denominators of the two fractions 5/2 and 17/5

5/2+17/5

The LCM of 2 and 5 (denominators of the fractions) is 10

Given numbers has no common factors except 1. So, there LCM is their product i.e 10

= 5 x 5 + 17 x 2/10

= 25 + 34/10

= 59/10

Result: 59/10

In order to get the Mixed Number,we need to divide 59 ÷ 10 to get the Quotient and Remainder

59 divided by 10 using long division

The given Divisor = 10 and Dividend = 59

 5 1 0 5 9 5 0 9

The Quotient is 5 and the Remainder is 9

We get the Quotient = 5 and Remainder = 9

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

Result: 5 9/10