What is 7/10 + 6/9?

The below workout with step by step calculation shows how to find the equivalent fraction between 7/10 and 6/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/10 plus 6/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

Problem and Workout - LCM Method
What is 7/10 plus 6/9 as a fraction by addition using LCM method?

step 1 Address formula, input parameters and values.
Input parameters and values:
7/10 & 6/9
7/10+6/9 = ?

step 2 For unequal denominators, find the LCM (least common multiple) for both denominators
The LCM for 10 and 9 is 90.

step 3 To have the common denominator, multiply the LCM with both numerator and denominator
=(7 x 90)/(10 x 90)+(6 x 90)/(9 x 90)
=63/90+60/90
=(63 + 60)/90

step 4 Add both numerator and rewrite it in a single form.
= 123/90
=41/30
7/10+6/9=41/30

By using LCM method, 41/30 is the equivalent fraction by adding 7/10 and 6/9.

Problem and Workout - Cross Multiplication Method
step 1 Address formula and input values.
Input values:
7/10 & 6/9
7/10 + 6/9 = ?

step 2 Cross multiply both numerator and denominator, multiply both denominators and rewrite as below
= (7 x 9) + (6 x 10)/(10 x 9)

step 3 Simplify and rewrite the fraction
= (63 + 60)/90
= 123/90
= 41/30
7/10+6/9 = 41/30
By using cross multiplication method, 41/30 is the addition between two fractions 7/10 and 6/9.