Fractions and Mixed Numbers Addition for 1/3, 2/5, 3/7 and 5/9

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 1/3, 2/5, 3/7 and 5/9.

Example Problem
Find the sum of 1/3, 2/5, 3/7 and 5/9.

Step by step workout
step 1 Input values:
1/3,  2/5,  3/7,  5/9
Total count = 4

step 2 Compare all denominators of the fractions, if they are not same, find the LCM (least common multiple) for all denominators. 315 is the LCM for 3 , 5 , 7 , 9 .

step 3 Multiply LCM 315 with each numerators and denominators
= (1 x 315)/(3 x 315)+(2 x 315)/(5 x 315)+(3 x 315)/(7 x 315)+(5 x 315)/(9 x 315)

step 4 Simply the above expression to have same denominators for all fractions.
=(1 x 105)/315+(2 x 63)/315+(3 x 45)/315+(5 x 35)/315

=105/315+126/315+135/315+175/315

=105 + 126 + 135 + 175/315

step 5 Add all numerators and rewrite it in a single form.
=541/315

Fraction Form:
1/3+2/5+3/7+5/9= 541/315
Decimal Form:
1/3+2/5+3/7+5/9= 1.72

541/315 is an equivalent fraction for adding fractions with same or different denominators, whole numbers and mixed numbers 1/3, 2/5, 3/7 and 5/9.