Convert 0.7¯¯¯

Question

to a fraction.

Answer 1

To convert 0.7¯¯¯ to a fraction, we can call the repeating decimal as x and multiply it by a power of 10 such that the decimal point is at the same position as the repeating part.

Let's assume x = 0.7¯¯¯

Then 100x = 70.7¯¯¯

By subtracting the original decimal equation from the equation with the power of 10 multiplied, we can eliminate the repeating decimal.

100x - x = 70.7¯¯¯ - 0.7¯¯¯

Simplifying both sides:

99x = 70

Now, we can divide both sides by 99 to solve for x:

x = 70/99

Therefore, 0.7¯¯¯ is equal to 70/99 as a fraction.