NZ Level 4
topic badge
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

What is Mathspace

About Mathspace