Comparing Decimals, Fractions and Percentages
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:
Examples
QUESTION 1
Compare the numbers $0.53$0.53, $60.3%$60.3%, and $\frac{17}{77}$1777 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 $0.53$0.53 and $\frac{17}{77}$1777 into percentages.
| $0.53\times100$0.53×100 | $=$= | $53$53 |
| $0.53$0.53 | $=$= | $53%$53% |
| $\frac{17}{77}$1777 | $=$= | $\frac{17}{77}\times100$1777×100 $%$% |
| $=$= | $\frac{1700%}{77}$1700%77 | |
| $=$= | $22\frac{6}{77}$22677 $%$% |
$22\frac{6}{77}$22677% < $53%$53% < $60.3%$60.3%
Therefore the ascending order is: $\frac{17}{77}$1777, $0.53$0.53, $60.3%$60.3%
QUESTION 2
Consider the values $71%$71% and $0.31$0.31.
First convert $0.31$0.31 to a percentage.
Select the inequality sign that makes the statement true.
$71%$71% ? $0.31$0.31 $=$=
A$>$>
B$<$<
C
QUESTION 3
Compare: $0.31$0.31 and $45%$45%
First convert $0.31$0.31 to a percentage.
Which of the two values is greater?
$45%$45%
A$0.31$0.31
B
QUESTION 4
Consider the statement:
$\frac{67}{50}$6750 > $154%$154%
First convert $\frac{67}{50}$6750 to a percentage
Hence, is the statement True or False?
True
AFalse
B
QUESTION 5
Consider the following values:
$71%$71%, $\frac{4}{6}$46, $\frac{84}{1000}$841000, $0.7$0.7, $0.99$0.99, $50.8%$50.8%
Which has the largest value?
$71%$71%
A$\frac{84}{1000}$841000
B$\frac{4}{6}$46
C$50.8%$50.8%
D$0.7$0.7
E$0.99$0.99
FWhich has the smallest value?
$\frac{84}{1000}$841000
A$50.8%$50.8%
B$0.99$0.99
C$71%$71%
D$0.7$0.7
E$\frac{4}{6}$46
FWhich has a value closest to $0.5$0.5?
$0.99$0.99
A$\frac{4}{6}$46
B$50.8%$50.8%
C$0.7$0.7
D$71%$71%
E$\frac{84}{1000}$841000
F