Question

jason has been tasked with painting the fence in his backyard. in an hour he paints \\(\frac{1}{5}\\) of the fence. he takes a break and then goes back out to continue working. he ends up getting through an additional \\(\frac{3}{4}\\). to find out how much of the fence hes finished painting, he adds together the two fractions.

what would the lowest common denominator?

select one answer
a 9
b 4
c 20
d 16

Explanation:

Identify the denominators of the fractions

$$ \text{Denominators of } \frac{1}{5} \text{ and } \frac{3}{4} \text{ are } 5 \text{ and } 4 $$

Find the least common multiple of the denominators

$$ \text{LCM}(5, 4) = 5 \times 4 = 20 $$

Answer:

• (A) 9
• (B) 4
• (C) 20 (Correct answer)
• (D) 16