Final answer:
To convert fractions with different denominators to equivalent fractions with a common denominator, find the LCM of the denominators.
Step-by-step explanation:
To convert fractions with different denominators to equivalent fractions with a common denominator, we need to find the least common multiple (LCM) of the denominators. In this case, the denominators are 15 and 24. The LCM of 15 and 24 is 120.
To convert (8/15) to an equivalent fraction with a denominator of 120, we multiply both the numerator and the denominator by (120/15). The equivalent fraction is (8/15) * (120/15) = 96/180.
To convert (11/24) to an equivalent fraction with a denominator of 120, we multiply both the numerator and the denominator by (120/24). The equivalent fraction is (11/24) * (120/24) = 55/120.