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

2 Answers
Jun 25, 2016

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

Jun 27, 2016

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 = 237rArrx=237/999=79/333" in simplest form"