Key Stage 3

Comparing Decimals, Fractions and Percentages I

Lesson

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
A
False
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
F
Which 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
F
Which 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