# Comparing Decimals, Fractions and Percentages

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.

1. First convert $0.31$0.31 to a percentage.

2. Select the inequality sign that makes the statement true.

 $71%$71% ? $0.31$0.31

$=$=

A

$>$>

B

$<$<

C

$=$=

A

$>$>

B

$<$<

C

##### QUESTION 3

Compare: $0.31$0.31 and $45%$45%

1. First convert $0.31$0.31 to a percentage.

2. Which of the two values is greater?

$45%$45%

A

$0.31$0.31

B

$45%$45%

A

$0.31$0.31

B

##### QUESTION 4

Consider the statement:

$\frac{67}{50}$6750 > $154%$154%

1. First convert $\frac{67}{50}$6750 to a percentage

2. Hence, is the statement True or False?

True

A

False

B

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%

1. 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

$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
2. 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

$\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
3. 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

$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

### Outcomes

#### NA4-5

Know the equivalent decimal and percentage forms for everyday fractions