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

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 9 1/4, 11 7/10, 15 3/5 and 16 2/5.

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

Step by step workout
step 1 Input 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 and 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.
= 1059/20÷ 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

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