Answer:
2/15 + 1/20 = 11/60
Step-by-step explanation:
1. Find the least common denominator or LCM of the two denominators:
15 and 20.
Steps to find LCM:
1. Find the prime factorization of 15
15 = 3 × 5
2. Find the prime factorization of 20
20 = 2 × 2 × 5
3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3 × 5
LCM = 60
2. Next, find the equivalent fraction of both fractional numbers with denominator 60.
For the 1st fraction, since 15 × 4 = 60,
2/15 = 2 * 4 / 15 * 4 = 8/60
Likewise, for the 2nd fraction, since 20 × 3 = 60,
1/20 = 1 * 3 / 20 × 3 = 3/60
Add the two like fractions:
8/60 + 3/60 = 8 + 3/60 = 11/60
