UK Secondary (7-11)
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Comparing Decimals, Fractions and Percentages II
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

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%

  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 3

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

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