# Fractions and Mixed Numbers Addition for 2 1/2, 3 3/4 and 2 1/3

## Workout for Sum of 2 1/2, 3 3/4 & 2 1/3

**Example Problem**

Find the sum of 2 1/2, 3 3/4 and 2 1/3.

**Step by step workout**

step 1 Input values:

21/2, 33/4, 21/3

Total count = 3

step 2 Convert the mixed numbers to corresponding fractions form, if any.

Fraction form = (whole number x denominator) + numerator/denominator

21/2 = (( 2 x 2 ) + 1)/2=5/2

33/4 = (( 3 x 4 ) + 3)/4=15/4

21/3 = (( 2 x 3 ) + 1)/3=7/3

step 3 Arrange all the numbers as fractions.

5/2+15/4+7/3

step 4 Compare all denominators of the fractions, if they are not same, find the LCM (least common multiple) for all denominators. 12 is the LCM for 2 , 4 , 3 .

step 5 Multiply LCM 12 with each numerators and denominators

= (5 x 12)/(2 x 12)+(15 x 12)/(4 x 12)+(7 x 12)/(3 x 12)

step 6 Simply the above expression to have same denominators for all fractions.

=(5 x 6)/12+(15 x 3)/12+(7 x 4)/12

=30/12+45/12+28/12

=30 + 45 + 28/12

step 7 Add all numerators and rewrite it in a single form.

=103/12

__Fraction Form:__

21/2+33/4+21/3= 103/12

__Decimal Form:__

21/2+33/4+21/3= 8.58

103/12 is an equivalent fraction for adding fractions with same or different denominators, whole numbers and mixed numbers 2 1/2, 3 3/4 and 2 1/3.