Determine the Sum of Mixed Numbers 12/8 and 21/8 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Sum of Mixed Numbers 12/8 and 21/8

The given mixed numbers are 12/8 and 21/8

Converting 12/8 mix number to fraction

Given Mixed Number is 1 2/8

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

The Whole Number is 1 and the fractional part is 2/8.

On adding them, they can be written as:

1/1 + 2/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 8.

1 x 8 + 2/8

8 + 2/8

After multiplying, the numerators 8 and 2 should be added.

10/8

The fraction value we get is 10/8.

On simplifying the fraction,we get:

5/4

After converting the Mixed Number 1 2/8 to the Improper Fraction,the result is 5/4.

Converting 21/8 mix number to fraction

Given Mixed Number is 2 1/8

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

The Whole Number is 2 and the fractional part is 1/8.

On adding them, they can be written as:

2/1 + 1/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 8.

2 x 8 + 1/8

16 + 1/8

After multiplying, the numerators 16 and 1 should be added.

17/8

The fraction value we get is 17/8.

After converting the Mixed Number 2 1/8 to the Improper Fraction,the result is 17/8.

Adding fractions 5/4 and 17/8

The given fractions are 5/4 and 17/8

Firstly the L.C.M should be done for the denominators of the two fractions 5/4 and 17/8

5/4+17/8

The LCM of 4 and 8 (denominators of the fractions) is 8
2 4, 8
2 2, 4
1, 2

So the lcm of the given numbers is 2 x 2 x 1 x 2 = 8


= 5 x 2 + 17 x 1/8

= 10 + 17/8

= 27/8

Result: 27/8

In order to get the Mixed Number,we need to divide 27 ÷ 8 to get the Quotient and Remainder

27 divided by 8 using long division

The given Divisor = 8 and Dividend = 27

3
827
24
3

The Quotient is 3 and the Remainder is 3

We get the Quotient = 3 and Remainder = 3

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

Result: 3 3/8