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- A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
Question 1:
A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is? A. 7/45
B. 1/35
Feedback Let the fraction be x. Then,
x:1/27 = 3/7 : 5/9
x × 5/9 = 1/27 × 3/7
x × 5/9 = 1/9 × 1/7
x × 5/9 = 1/63
x × 5 = 9/63
5x = 1/7 = 1/35
x:1/27 = 3/7 : 5/9
x × 5/9 = 1/27 × 3/7
x × 5/9 = 1/9 × 1/7
x × 5/9 = 1/63
x × 5 = 9/63
5x = 1/7 = 1/35
C. 45/7
D. 5/22
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