Question

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

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Answer 1

82/333

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!

Answer 2

Step 1: 0.246 = 246⁄1000

Step 2: Simplify 246⁄1000 = 123⁄500