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?

Responses

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

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

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

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

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

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

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

1 answer

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