Select all ratios equivalent to 4:2
(Options) 24:12, 28:14 2:1
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1/2
To determine which ratios are equivalent to 4:2, we need to simplify the given ratio.
To simplify a ratio, we divide both the numerator (4) and the denominator (2) by their greatest common divisor (GCD).
The GCD of 4 and 2 is 2.
Dividing both the numerator and the denominator by 2, we get:
4 ÷ 2 = 2 and 2 ÷ 2 = 1
Therefore, the simplified ratio is 2:1.
Now, let's check which options are equivalent to the simplified ratio:
1. 24:12
To simplify 24:12, we divide both the numerator and the denominator by the GCD, which is 12.
24 ÷ 12 = 2 and 12 ÷ 12 = 1
The simplified ratio is 2:1, which is equivalent to the given ratio.
2. 28:14
To simplify 28:14, we divide both the numerator and the denominator by the GCD, which is 14.
28 ÷ 14 = 2 and 14 ÷ 14 = 1
The simplified ratio is 2:1, which is equivalent to the given ratio.
In conclusion, the ratios that are equivalent to 4:2 are 2:1, 24:12, and 28:14.
4 : 2 = 2
24 : 12 = 2
28 : 14 = 2
2 : 1 = 2
All this ratios is same, but in most simplified form 2 : 1