# Fractions and Mixed Numbers: Average of 1 1/4, 2 1/4, 3 3/4 and 4 3/5

## Workout for Average of 1 1/4, 2 1/4, 3 3/4 & 4 3/5

**Example Problem**

Find the sum between 1 1/4, 2 1/4, 3 3/4 and 4 3/5.

**Step by step workout**

step 1 Input values:

11/4, 21/4, 33/4, 43/5

Total count = 4

step 2 Convert the mixed numbers to corresponding fractions form , if any.

Fraction form = (whole number x denominator) + numerator/denominator

11/4 = (( 1 x 4 ) + 1)/4=5/4

21/4 = (( 2 x 4 ) + 1)/4=9/4

33/4 = (( 3 x 4 ) + 3)/4=15/4

43/5 = (( 4 x 5 ) + 3)/5=23/5

step 3 Arrange all the numbers as fractions.

5/4+9/4+15/4+23/5

step 4 Compare all denominators of the fractions, if they are not same, find the LCM (least common multiple) for all denominators. 20 is the LCM for 4 , 4 , 4 , 5 .

step 5 Multiply LCM 20 with each numerators and denominators

= (5 x 20)/(4 x 20)+(9 x 20)/(4 x 20)+(15 x 20)/(4 x 20)+(23 x 20)/(5 x 20)

step 6 Simply the above expression to have same denominators for all fractions.

=(5 x 5)/20+(9 x 5)/20+(15 x 5)/20+(23 x 4)/20

=25/20+45/20+75/20+92/20

=25 + 45 + 75 + 92/20

step 7 Add all numerators and rewrite it in a single form.

=237/20

step 8 Divide the sum by total count of fractions.

= 237/20รท 4

= 237/20x1/4

=237/80

__Fraction Form:__

11/4+21/4+33/4+43/5= 237/80

__Decimal Form:__

11/4+21/4+33/4+43/5= 2.96

237/80 is the average of fractions and whole numbers 1 1/4, 2 1/4, 3 3/4 and 4 3/5.