Which pair of ratios can form a true proportion?
A: 7/4,21/12 (I CHOOSE THIS)
B: 6/3,5/6
C: 7/10,6/7
D: 3/5,7/12
Pls help
Yes, you're right.
To determine which pair of ratios can form a true proportion, we need to check if the two fractions are equal. In this case, we want to find the pair of ratios where the fraction on the left is equal to the fraction on the right.
Let's check each option:
A: 7/4, 21/12
To simplify the first fraction, we find the greatest common divisor (GCD) of 7 and 4, which is 1. We divide both the numerator and the denominator by 1, resulting in 7/4.
For the second fraction, we find the GCD of 21 and 12, which is 3. After dividing both the numerator and the denominator by 3, we get 7/4.
Since both fractions are equal to 7/4, option A forms a true proportion.
B: 6/3, 5/6
To simplify the first fraction, we find the GCD of 6 and 3, which is 3. Dividing both the numerator and the denominator by 3 gives us 2/1 or simply 2.
For the second fraction, we find the GCD of 5 and 6, which is 1. We divide both the numerator and the denominator by 1, and the fraction remains as 5/6.
Since 2 is not equal to 5/6, option B does not form a true proportion.
C: 7/10, 6/7
Both fractions in option C are already in simplified form. However, 7/10 is not equal to 6/7, so option C does not form a true proportion.
D: 3/5, 7/12
Again, both fractions are already simplified. However, 3/5 is not equal to 7/12, so option D does not form a true proportion.
Therefore, the correct answer is option A: 7/4, 21/12.