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
23.7 is the numerator and 100 is the denominator of 0.237 as a fraction.
Jun 27, 2016
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"#