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.
