Question

Which pair of expressions has equivalent values?

A.) 1/13 and 1/15
B.) 6/1 and 9/1
C.) 7/8 and 8/7
D.) 9/2 and 4/3

Answer 1

The most possible answer would be
A.) 1/13 and 1/15
because,
1/13 = 0.077
1/15 = 0.067
hence, it could be the most probable answer compared to the other alternatives.

Answer 2

Option: A is the correct answer.

The pair that has equivalent values are:

A) 1/13 and 1/15

Explanation:

We will check the values of each of the given expressions and see which option best represent the equivalent values.

A)

1/13 and 1/15

We know that:

1/13=0.0769231

1/15=0.066667

As we could see that the two values are approximately similar.

Hence, the two represents a equivalent values.

Hence, this option is correct.

B)

6/1 and 9/1

We know that:

6/1=6

and 9/1=9

Clearly the two values have a large difference( Since 9-6=3).

Hence, this option is incorrect.

C)

7/8 and 8/7

The values of the two numbers are:

7/8=0.875

and 8/7=1.14286

Clearly one number is less than 1 and the other is greater than one.

Hence, the two expressions are not equivalent.

Hence, this option is incorrect.

D)

9/2 and 4/3

We solve for the two expressions.

9/2=4.5

and 4/3=1.3333

Clearly there is a large difference between the two numbers.

Hence, the given expression are not equivalent.

Hence, this option is incorrect.