# Fractions and Mixed Numbers Addition for 1/2, 3/4, 5/6, 7/8 and 9/10

## Workout for Sum of 1/2, 3/4, 5/6, 7/8 & 9/10

**Example Problem**

Find the sum of 1/2, 3/4, 5/6, 7/8 and 9/10.

**Step by step workout**

step 1 Input values:

1/2, 3/4, 5/6, 7/8, 9/10

Total count = 5

step 2 Compare all denominators of the fractions, if they are not same, find the LCM (least common multiple) for all denominators. 120 is the LCM for 2 , 4 , 6 , 8 , 10 .

step 3 Multiply LCM 120 with each numerators and denominators

= (1 x 120)/(2 x 120)+(3 x 120)/(4 x 120)+(5 x 120)/(6 x 120)+(7 x 120)/(8 x 120)+(9 x 120)/(10 x 120)

step 4 Simply the above expression to have same denominators for all fractions.

=(1 x 60)/120+(3 x 30)/120+(5 x 20)/120+(7 x 15)/120+(9 x 12)/120

=60/120+90/120+100/120+105/120+108/120

=60 + 90 + 100 + 105 + 108/120

step 5 Add all numerators and rewrite it in a single form.

=463/120

__Fraction Form:__

1/2+3/4+5/6+7/8+9/10= 463/120

__Decimal Form:__

1/2+3/4+5/6+7/8+9/10= 3.86

463/120 is an equivalent fraction for adding fractions with same or different denominators, whole numbers and mixed numbers 1/2, 3/4, 5/6, 7/8 and 9/10.