Question

Solve for cc. Express your answer as a proper or improper fraction in simplest terms.
start fraction, 3, divided by, 4, end fraction, equals, start fraction, 2, divided by, 3, end fraction, c, plus, start fraction, 3, divided by, 5, end fraction
4
3
​
=
3
2
​
c+
5
3

Answer 1

Solve 3/4 = (2/3)c + 3/5 for c.

(2/3)c = 3/4 − 3/5 = (15 − 12)/20 = 3/20

c = (3/20) ÷ (2/3) = (3/20) * (3/2) = 9/40

Answer: 9/40