Question

HURRY!!!!!!!!!! How is 0.246 (46 Repeating) written as a fraction in simplest form?

Answer 1

Answer: 122/495
because 122 divided by 495 equals 0.246¯¯¯¯

Answer 2

Let

`x=0.2464646..`

Multiply x by a power of
`10`, one that keeps the decimal part of the number the same:

`\\1,000x=246.4646..`

`\\10x=2.464646..`

Subtract
`\\10x` from
`\\1000x`

`\\1,000x-10x=246.4646..-2.464646..=244`

The repeating decimals should cancel out

`\\990x=244`

solve for x

Divide by
`990` both sides

`990x/990=244/990`

`x=244/990`

Simplify

Divide by
`2` both numerator and denominator

`x=122/495`

therefore

the answer is

The fraction in simplest form is
`122/495`