# Fractions and Mixed Numbers Addition for 3, 4, 5, 7/9, 2/7, 6 and 9

## Workout for Sum of 3, 4, 5, 7/9, 2/7, 6 & 9

**Example Problem**

Find the sum of 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

__Fraction Form:__

3+4+5+7/9+2/7+6+9= 1768/63

__Decimal Form:__

3+4+5+7/9+2/7+6+9= 28.06

1768/63 is an equivalent fraction for adding fractions with same or different denominators, whole numbers and mixed numbers 3, 4, 5, 7/9, 2/7, 6 and 9.