# Fractions & Mixed Numbers Average of 5 3/7 & 7 3/4

## Workout for Average of 5 3/7 & 7 3/4

**Example Problem**

Find the sum between 5 3/7 & 7 3/4.

**Step by step workout**

step 1 Input parameters & values:

53/7, 73/4

Total count = 2

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

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

53/7 = (( 5 x 7 ) + 3)/7=38/7

73/4 = (( 7 x 4 ) + 3)/4=31/4

step 3 Arrange all the numbers as fractions.

38/7+31/4

step 4 Compare all denominators of the fractions, if they are not same, find the LCM (least common multiple) for all denominators. 28 is the LCM for 7 , 4 .

step 5 Multiply LCM 28 with each numerators & denominators

= (38 x 28)/(7 x 28)+(31 x 28)/(4 x 28)

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

=(38 x 4)/28+(31 x 7)/28

=152/28+217/28

=152 + 217/28

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

=369/28

step 8 Divide the sum by total count of fractions.

= 369/28รท 2

= 369/28x1/2

=369/56

__Fraction Form:__

53/7+73/4= 369/56

__Decimal Form:__

53/7+73/4= 6.59

Thus, 369/56 is the average of fractions & whole numbers 5 3/7 and 7 3/4.