Question

would 3/5 convert to a repeating decimal

Answer 1

35 = 0.6 = 60% Explanation: To convert a fraction to a decimal, it is always a good idea to look at the denominator first. If the denominator contains only 2 and 5 as prime factors, then one can easily choose a number multiplying the denominator which converts it into a denominator, which is the power of 10 and the result will be a finite decimal number. If it contains a prime factor other than 2 and 5, converting to decimal may be longer and will result in endless but repetitive decimals. In the present case, as the denominator is 5, we can easily convert it to a decimal by multiplying the denominator and the numerator by 2. So 35 = 3 x 25 x 2 = 610 = 0.6 To convert the fraction into a percentage one just needs to multiply it by 100 and write the percentage sign against the result. Since 35 = 0.6, it is 0.6 x 100 = 60%