How do you convert 0.435 repeating to a fraction?

Answer 1

To convert 0.435 repeating to a fraction, we first assign a variable, let's say x, to the repeating decimal. Then, we subtract the non-repeating part from the repeating part to get 1000x - 100x = 435. This simplifies to 900x = 435. Solving for x gives us x = 435/900, which simplifies to 29/60. Therefore, 0.435 repeating is equivalent to the fraction 29/60.

Answer 2

Like this. You call your number "x", and write:x = 0.435435... (equation 1)

1000x = 435.435435... (equation 2)

Then, you subtract equation 1 from equation 2, and solve for "x". This will give you "x" as a fraction.

Note: The factor 1000 was chosen because the period (number of repeating digits) is 3, and 1000 has 3 zeros.

Answer 3

1000x = 435.435435

x = 0.435435

Subtract them.

999x = 435

x = 435/999 or 145/333