Answer:
common denominator = 2·3·5
Explanation:
You want the factorization of the common denominator of 2/3+7/10.
Denominators
The denominators of the fractions in the given sum are 3 and 10. Their prime factors are ...
3 = 3
10 = 2·5
Common denominator
The common denominator factors will be the product of the unique factors in the above list:
common denominator = 2·3·5
__
Additional comment
Using the common denominator, the sum is ...
20/30 +21/30 = 41/30 = 1 11/30