Fractions and Mixed Numbers Addition for 1 1/2, 1/3, 2 1/3, 3 1/4, 5, 5 2/3 and 6 5/7

Grade school students, teachers or parents may refer the below solved example workout with step by step calculation to solve similar fractions and whole numbers addition worksheet problems or how to find what is an equivalent fraction for sum of 1 1/2, 1/3, 2 1/3, 3 1/4, 5, 5 2/3 and 6 5/7.

Example Problem
Find the sum of 1 1/2, 1/3, 2 1/3, 3 1/4, 5, 5 2/3 and 6 5/7.

Step by step workout
step 1 Input values:
11/2,  1/3,  21/3,  31/4,  5,  52/3,  65/7
Total count = 7

step 2 Convert the mixed numbers to corresponding fractions form, if any.
Fraction form = (whole number x denominator) + numerator/denominator
11/2 = (( 1 x 2 ) + 1)/2=3/2
21/3 = (( 2 x 3 ) + 1)/3=7/3
31/4 = (( 3 x 4 ) + 1)/4=13/4
52/3 = (( 5 x 3 ) + 2)/3=17/3
65/7 = (( 6 x 7 ) + 5)/7=47/7

step 3 Convert the whole numbers to corresponding fractions form, if any.
,   5 = 5/1

step 4 Arrange all the numbers as fractions.
3/2+1/3+7/3+13/4+5/1+17/3+47/7

step 5 Compare all denominators of the fractions, if they are not same, find the LCM (least common multiple) for all denominators. 84 is the LCM for 2 , 3 , 3 , 4 , 1 , 3 , 7 .

step 6 Multiply LCM 84 with each numerators and denominators
= (3 x 84)/(2 x 84)+(1 x 84)/(3 x 84)+(7 x 84)/(3 x 84)+(13 x 84)/(4 x 84)+(5 x 84)/(1 x 84)+(17 x 84)/(3 x 84)+(47 x 84)/(7 x 84)

step 7 Simply the above expression to have same denominators for all fractions.
=(3 x 42)/84+(1 x 28)/84+(7 x 28)/84+(13 x 21)/84+(5 x 84)/84+(17 x 28)/84+(47 x 12)/84

=126/84+28/84+196/84+273/84+420/84+476/84+564/84

=126 + 28 + 196 + 273 + 420 + 476 + 564/84

step 8 Add all numerators and rewrite it in a single form.
=2083/84

Fraction Form:
11/2+1/3+21/3+31/4+5+52/3+65/7= 2083/84
Decimal Form:
11/2+1/3+21/3+31/4+5+52/3+65/7= 24.8

2083/84 is an equivalent fraction for adding fractions with same or different denominators, whole numbers and mixed numbers 1 1/2, 1/3, 2 1/3, 3 1/4, 5, 5 2/3 and 6 5/7.