Question

1. ian makes a delicious pan of brownies for his friends. susan eats 1/10 of the brownies, margot eats 1/8 of the brownies, stanley eats 1/5 of the brownies, and richard eats 1/6 of the brownies. what fraction of the brownies has been eaten?

71/120 1/4

56/91 7/15

Explanation:

Step1: Find a common denominator

The denominators are 10, 8, 5, 6. The least common multiple (LCM) of 10, 8, 5, 6 is 120.

Step2: Convert each fraction

• $\frac{1}{10} = \frac{1\times12}{10\times12} = \frac{12}{120}$
• $\frac{1}{8} = \frac{1\times15}{8\times15} = \frac{15}{120}$
• $\frac{1}{5} = \frac{1\times24}{5\times24} = \frac{24}{120}$
• $\frac{1}{6} = \frac{1\times20}{6\times20} = \frac{20}{120}$

Step3: Add the fractions

$\frac{12}{120} + \frac{15}{120} + \frac{24}{120} + \frac{20}{120} = \frac{12 + 15 + 24 + 20}{120} = \frac{71}{120}$

Answer:

71/120 (corresponding to the option "71/120")