# Fractions & Mixed Numbers Average of 1/3, 2/5, 3/7 & 5/9

## Workout for Average of 1/3, 2/5, 3/7 & 5/9

**Example Problem**

Find the sum between 1/3, 2/5, 3/7 & 5/9.

**Step by step workout**

step 1 Input parameters & 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 & 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.

= 541/315รท 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

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