# 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

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

### Outcomes

#### NA5-1

Reason with linear proportions.

#### NA5-5

Know commonly used fraction, decimal, and percentage conversions