Question

How do you convert 0.237 (237 repeating) to a fraction?

Answer 1

Use multiplication and a denominator of 100

Explanation:

Multiply the decimal by 100 to convert it to a percentage

`0.237xx100=23.7%`

23.7 is the numerator and 100 is the denominator of 0.237 as a fraction.

`23.7/100`

Answer 2

`79/333`

Explanation:

We require to obtain 2 equations with the same repeating part and subtract them to eliminate the repeating part.

`0.bar237` represents 0.237237...

Begin by setting x `=0.bar237........ (A)`

To obtain the same repeating part after the decimal point we require to multiply by 1000.

`rArr1000x=237.bar237........ (B)`

Subtracting (A) from (B) will eliminate the repeated fraction.

(B) - (A) : 999x = 237`rArrx=237/999=79/333" in simplest form"`