1

Problem

Find the equivalent fraction of \$9/15\$.

2

Hint

To find the greatest common divisor (GCD) for each number.

3

Step

Factors for 9 is Factors for 15 is

1, 3, 9 1, 3, 5, 15

4

Step

The GCD for 3 and 5 is

3

5

Step

Divide both the numerator and the denominator by the GCD

9 ÷ 3 = 3
15 ÷ 3 = 5

6

Solution

So, the equivalent fraction of \$9/15\$ is \$3/5\$.

7

Sumup

Please summarize steps

Choices

8

Choice-A

This option is correct, beacause \$1/5\$​ is not equivalent to \$9/15\$​ because multiplying \$1/5\$​ by 3 gives \$3/15\$​, not \$9/15\$​

Wrong \$1/5\$

9

Choice-B

This option is correct. As shown above, \$9/15\$ simplifies to \$3/5\$

Correct \$3/5\$

10

Choice-C

This option is incorrect. Multiplying \$2/5\$ by 3 gives \$6/15\$ , which is not \$9/15\$

Wrong \$2/5\$

11

Choice-D

This option is incorrect because \$6/7\$ is unrelated to \$9/15\$ and does not share the same numerator-to-denominator ratio

Wrong \$6/7\$

12

Answer

Option

B

13

Sumup

Please summarize choices