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Multiple Choice
Which of the following ratios are equivalent to 1:2?
A
1:3
B
0.5:1
C
2:1
D
2:4
Verified step by step guidance
1
Step 1: Understand the concept of ratios. A ratio is a way to compare two quantities by division. For example, a ratio of 1:2 means the first quantity is half the size of the second quantity.
Step 2: Simplify the given ratios to check if they are equivalent to 1:2. To simplify, divide both parts of the ratio by their greatest common divisor (GCD). For example, in the ratio 2:4, divide both numbers by 2 (the GCD) to get 1:2.
Step 3: Analyze the ratio 1:3. Divide both parts by their GCD (which is 1). The simplified form remains 1:3, which is not equivalent to 1:2 because the proportions differ.
Step 4: Analyze the ratio 0.5:1. Multiply both parts by 2 to eliminate the decimal, resulting in 1:2. This ratio is equivalent to 1:2.
Step 5: Analyze the ratio 2:1. Divide both parts by their GCD (which is 1). The simplified form remains 2:1, which is not equivalent to 1:2 because the proportions differ.