Fractions and Mixed Numbers: Average of 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 average worksheet problems or how to find what is an equivalent fraction for average of 1/3, 2/5, 3/7 and 5/9.

Example Problem
Find the sum between 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

step 6 Divide the sum by total count of fractions.
= 541/315÷ 4
= 541/315x1/4
=541/1260

Fraction Form:
1/3+2/5+3/7+5/9= 541/1260
Decimal Form:
1/3+2/5+3/7+5/9= 0.43

541/1260 is the average of fractions and whole numbers 1/3, 2/5, 3/7 and 5/9.