Benchmark Percentages comparing with Decimals and Fractions
Now that we know how to convert both fractions and decimals into percentages, it's time to play around with them a bit and compare these different types of numbers.
Let's take a look at the following question:
Question 1
Compare the numbers $0.7$0.7, $25%$25% and $\frac{1}{3}$13 and put them in ascending order
Think how can I put them all in the same form so I can compare them easily?
Do: Let's convert both $0.7$0.7 and $\frac{1}{3}$13 into percentages.
| $0.7\times100$0.7×100 | $=$= | $70$70 |
| $0.7$0.7 | $=$= | $70%$70% |
| $\frac{1}{3}$13 | $=$= | $33\frac{1}{3}$3313 $%$% |
So: $25%$25% < $33\frac{1}{3}$3313% < $70%$70%
Therefore the ascending order is: $25%$25%, $\frac{1}{3}$13, $0.7$0.7
QUESTION 2
Arrange $\frac{9}{10}$910, $40%$40% and $0.5$0.5 in descending order.
First, convert $\frac{9}{10}$910 to a percentage.
Now convert $0.5$0.5 to a percentage.
Which of the following arranges $\frac{9}{10}$910, $40%$40% and $0.5$0.5 from largest to smallest?
$40%$40%, $\frac{9}{10}$910, $0.5$0.5
A$\frac{9}{10}$910, $0.5$0.5, $40%$40%
B$\frac{9}{10}$910, $40%$40%, $0.5$0.5
C$0.5$0.5, $40%$40%, $\frac{9}{10}$910
D