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