Question

Tamar used the algebraic method to convert the repeating decimal number 2.45¯¯¯¯ to a fraction. Her first two steps are shown below.

Step 1: x=2.45¯¯¯¯
Step 2: 100x=245.45¯¯¯¯
What should be Tamar’s next step?

A
Substitute the value of x from the equation in the first step into the equation in the second step.

B
Add the equation in the first step to the equation in the second step.

C
Find the value of x in the equations in both steps.

D
Subtract the equation in the first step from the equation in the second step.

Answer 1

D

Explanation:

Once you do this it means that 245.45454545454 - 2.4545454545 will then =243 which is a nice whole interger. and as you are subtracting both the numbers you will subtract x from 100x = 99x.

Therefore 99x = 243