Make sure you give the simplest form of the ratio for every movie, then compare them.
Movie B, 1:1
Practice makes perfect
A ratio is a comparison of two quantities by division. We can write a ratio of two numbers a and b, where b ≠ 0, in three ways.
a/b a : b a to b
We usually express a and b in the same unit and write the ratio in simplest form. We are given the following measurements.
Movie
Number of Academy Awards
Number of nominations
Movie A
2
4
Movie B
11
11
Movie C
11
14
Movie D
8
12
We want to find the greatest ratio of Academy Awards to nominations. Let's write down and simplify our ratios.
Movie
Ratio
Simplified ratio
Ratio as a number
Movie A
2:4
1:2
0.5
Movie B
11:11
1:1
1
Movie C
11:14
11:14
≈ 0.79
Movie D
8:12
2:3
≈ 0.67
Therefore, Movie B has the greatest ratio of Academy Awards to nominations. We can write this simplified ratio in any of the three ways.
1/1 1:1 1to1
