Fractions and Mixed Numbers: Average of 3, 4, 5, 7/9, 2/7, 6 and 9

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 3, 4, 5, 7/9, 2/7, 6 and 9.

Example Problem
Find the sum between 3, 4, 5, 7/9, 2/7, 6 and 9.

Step by step workout
step 1 Input values:
3,  4,  5,  7/9,  2/7,  6,  9
Total count = 7

step 2 Convert the whole numbers to corresponding fractions form, if any.
3 = 3/1,   4 = 4/1,   5 = 5/1,   6 = 6/1,   9 = 9/1

step 3 Arrange all the numbers as fractions.
3/1+4/1+5/1+7/9+2/7+6/1+9/1

step 4 Compare all denominators of the fractions, if they are not same, find the LCM (least common multiple) for all denominators. 63 is the LCM for 1 , 1 , 1 , 9 , 7 , 1 , 1 .

step 5 Multiply LCM 63 with each numerators and denominators
= (3 x 63)/(1 x 63)+(4 x 63)/(1 x 63)+(5 x 63)/(1 x 63)+(7 x 63)/(9 x 63)+(2 x 63)/(7 x 63)+(6 x 63)/(1 x 63)+(9 x 63)/(1 x 63)

step 6 Simply the above expression to have same denominators for all fractions.
=(3 x 63)/63+(4 x 63)/63+(5 x 63)/63+(7 x 7)/63+(2 x 9)/63+(6 x 63)/63+(9 x 63)/63

=189/63+252/63+315/63+49/63+18/63+378/63+567/63

=189 + 252 + 315 + 49 + 18 + 378 + 567/63

step 7 Add all numerators and rewrite it in a single form.
=1768/63

step 8 Divide the sum by total count of fractions.
= 1768/63÷ 7
= 1768/63x1/7
=1768/441

Fraction Form:
3+4+5+7/9+2/7+6+9= 1768/441
Decimal Form:
3+4+5+7/9+2/7+6+9= 4.01

1768/441 is the average of fractions and whole numbers 3, 4, 5, 7/9, 2/7, 6 and 9.