Question

Choose the fraction pair that is equivalent.

3/7 and 36/84
3/6 and 6/9
7/12 and 12/7
1/5 and 1/10

Answer 1

To determine which fraction pair is equivalent, you need to simplify each fraction and check if they have the same value. The pair of fractions that is equivalent is 3/7 and 36/84.

Step-by-step explanation:

To determine which fraction pair is equivalent, you need to simplify each fraction and check if they have the same value. Let's go through the options:

1. 3/7 and 36/84: To simplify 3/7, we can divide both the numerator and denominator by their greatest common divisor, which is 1. So, the simplified form is still 3/7. Simplifying 36/84, we divide both numbers by their greatest common divisor, which is 12. This gives us 3/7 as well. Therefore, these fractions are equivalent.
2. 3/6 and 6/9: To simplify 3/6, we can divide both numbers by their greatest common divisor, which is 3. This gives us 1/2. Simplifying 6/9, we divide both numbers by their greatest common divisor, which is 3. This gives us 2/3. Therefore, these fractions are not equivalent.
3. 7/12 and 12/7: These fractions are not equivalent because the numerators and denominators are different.
4. 1/5 and 1/10: To simplify 1/5, we can divide both numbers by their greatest common divisor, which is 1. This gives us 1/5. Simplifying 1/10, we divide both numbers by their greatest common divisor, which is 1. This gives us 1/10. Therefore, these fractions are not equivalent.