Question

How is 0.246¯¯¯¯ written as a fraction in simplest form?

Answer 1

Answer:

Step 1: 0.246 = 246⁄1000

Step 2: Simplify 246⁄1000 = 123⁄500

Answer 2

Answer:

82/333

Step-by-step explanation:

Let's say x = 0.246 (repeating). Multiply both sides by 1000:

1000x = 246.246 (repeating)

Now we can subtract these two:

  1000x = 246.246 (repeating)

-          x = 0.246 (repeating)

_________________________

999x = 246  (the repeating decimal part cancels out)

Divide both sides by 999:

x = 246/999 = 82/333

Hope this helps!