A which ratio is equivalent to 3/7
a.6 to 10
b.9:21**
c.12/35
d.7/3
Please check
Right.
To determine which ratio is equivalent to 3/7, we need to find a ratio that simplifies to the same value.
To simplify a ratio, we divide both the numerator and the denominator by their greatest common divisor (GCD).
For 3/7, finding the GCD of 3 and 7, which is 1 because there are no common factors other than 1.
Now let's simplify each of the given ratios:
a. 6:10 -> We can divide both numbers by 2 to simplify it. The simplified ratio is 3:5, which is not equivalent to 3/7.
b. 9:21 -> We can divide both numbers by 3 to simplify it. The simplified ratio is 3:7, which is equivalent to 3/7. Therefore, the correct answer is b.
c. 12/35 -> This is a fraction, not a ratio. We need to work with ratios, so we can eliminate this option.
d. 7/3 -> This is the reciprocal of 3/7. Although reciprocals represent the same value, it is not a valid equivalent ratio, so we can eliminate this option.
Therefore, the correct answer is b. 9:21.