Comparing Decimals, Fractions and Percentages

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

QUESTION 3