What is 0.74 as a fraction in it's simplest form?

Answer 1

0.74 = 37/50.

To change decimals to fractions, first make the decimal into a mixed number where the whole number is the part before the decimal point and the numerator is the part after the decimal point. The denominator is based off of the placeholders in the original decimal. Since 0.74 is 74 hundredths, our denominator will be 100 (an easy way to figure this out is to count the digits after the decimal point, since we have 2 digits, we will use 2 zeroes--hence 100).

Since our decimal is less than 1, we won't actually have a mixed number, just 74 over 100. Now all you have to do is simplify. To simplify a fraction, look for common factors in the numerator and denominator. Since 74 and 100 are both even, I know 2 is a common factor, so I will divide both numbers by 2. This gives me 37 over 50. There are no more common factors (other than 1), so my fraction is in its simplest form.