ARE THE RATIOS 7:14 AND 1:2 EQUIVALENT
Are the ratios 2:16 and 1:2 equivalent?
Are the ratios 7:14 and 1:2 equivalent?
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To determine if the ratios 7:14 and 1:2 are equivalent, we need to compare them by simplifying the ratios.
Step 1: Simplify the ratios
To simplify a ratio, we divide both terms by their greatest common divisor (GCD). The GCD of 7 and 14 is 7, so we divide both terms of the first ratio by 7:
7 ÷ 7 = 1
14 ÷ 7 = 2
Step 2: Check if the simplified ratios are equal
Now, we have the simplified ratio 1:2 for the first ratio. Let's compare it to the second ratio, 1:2.
Since both the simplified ratios are 1:2, we can conclude that the ratios 7:14 and 1:2 are equivalent.
Therefore, the answer is yes, the ratios 7:14 and 1:2 are equivalent.