# Fractions & Mixed Numbers Average of 9 1/4, 11 7/10, 15 3/5 & 16 2/5

## Workout for Average of 9 1/4, 11 7/10, 15 3/5 & 16 2/5

**Example Problem**

Find the sum between 9 1/4, 11 7/10, 15 3/5 & 16 2/5.

**Step by step workout**

step 1 Input parameters & values:

91/4, 117/10, 153/5, 162/5

Total count = 4

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

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

91/4 = (( 9 x 4 ) + 1)/4=37/4

117/10 = (( 11 x 10 ) + 7)/10=117/10

153/5 = (( 15 x 5 ) + 3)/5=78/5

162/5 = (( 16 x 5 ) + 2)/5=82/5

step 3 Arrange all the numbers as fractions.

37/4+117/10+78/5+82/5

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 , 10 , 5 , 5 .

step 5 Multiply LCM 20 with each numerators & denominators

= (37 x 20)/(4 x 20)+(117 x 20)/(10 x 20)+(78 x 20)/(5 x 20)+(82 x 20)/(5 x 20)

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

=(37 x 5)/20+(117 x 2)/20+(78 x 4)/20+(82 x 4)/20

=185/20+234/20+312/20+328/20

=185 + 234 + 312 + 328/20

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

=1059/20

step 8 Divide the sum by total count of fractions.

= 1059/20รท 4

= 1059/20x1/4

=1059/80

__Fraction Form:__

91/4+117/10+153/5+162/5= 1059/80

__Decimal Form:__

91/4+117/10+153/5+162/5= 13.24

Thus, 1059/80 is the average of fractions & whole numbers 9 1/4, 11 7/10, 15 3/5 and 16 2/5.