Activity: Fractions, Decimals, and Percentages
[ Want to get more comfortable with converting among fractions, decimals, and percentages? Play this game! ] (a) In your math notebook, turn each of the given percentages into a decimal as well as into a fraction in lowest terms.
- (i) 10%
- (ii) 25%
- (iii) 50%
- (iv) 125%
- (v) 0.5%
To turn a percentage into a decimal, how far and in which direction should you move the decimal? To turn the percentage into a fraction, which number do you divide by? Don’t forget to reduce the fraction if possible.
- (i) Decimal: Fraction:
- (ii) Decimal: Fraction:
- (iii) Decimal: Fraction:
- (iv) Decimal: Fraction:
- (v) Decimal: Fraction:
(b) Write each of the following given numbers as percentages.
- (iv) 0.4
- (v) 0.0075
- (vi) 1.2
There are several different ways of doing this. Do you like to go through a decimal? Do you prefer to multiply by 100%? (This last approach will be shown in the solutions.)
(b) Multiplying each fraction or decimal by 100% gives the following answers:
By no means did you have to do it this way, but don’t forget that your answer must include a percent symbol.