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

Find the number amongst $4\frac{2}{5}$425%, $1.09$1.09, $\frac{61}{1000}$611000, $43%$43%, $\frac{8}{15}$815 that is closest to $50%$50%

Think how can I put them all in the same form so I can compare them easily?

Do Let's convert $1.09$1.09, $\frac{61}{1000}$611000 and $\frac{8}{15}$815 into percentages.

$1.09$1.09	$=$=	$1.09\times100%$1.09×100%
	$=$=	$109%$109%

$\frac{61}{1000}$611000	$=$=	$\frac{61}{1000}\times100%$611000×100%
	$=$=	$\frac{6100%}{1000}$6100%1000
	$=$=	$6.1%$6.1%

$\frac{8}{15}$815	$=$=	$\frac{8}{15}\times100%$815×100%
	$=$=	$\frac{800%}{15}$800%15
	$=$=	$53\frac{1}{3}$5313 $%$%

$4\frac{2}{5}$425% < $6.1%$6.1% < $43%$43% < $53\frac{1}{3}$5313% < $109%$109%

Therefore we can see that the percentage that is closest to $50%$50% is $53\frac{1}{3}$5313% which comes from $\frac{8}{15}$815.

QUESTION 2

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 3

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

Outcomes

9.NS.RN.1

Review of representation of natural numbers, integers, rational numbers on the number line. Representation of terminating/non-terminating recurring decimals, on the number line through successive magnification. Rational numbers as recurring/terminating decimals.

Comparing Decimals, Fractions and Percentages