Cheexorgeny

2021-12-16

How do you write $\frac{56}{}$ as a percent?

SlabydouluS62

Expert

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as
$\frac{x}{100}$
As a result, we can write an equation as and find the value of x:
$\frac{x}{100}=\frac{5}{6}$
$100×\frac{1}{100}=100×\frac{5}{6}$
$100×\frac{x}{100}=\frac{500}{6}$
$x=83.3$
$\frac{56}{=}83.3\mathrm{%}$

Steve Hirano

Expert

Fractions, decimals and percents are all different ways of writing the same number.
The easiest one is: $\frac{12}{=}0.5=0.50=\frac{50}{100}=50\mathrm{%}$
$\frac{56}{}$ can be writen as $5÷6$
If you do the division you will end up with a decimal:
$\frac{56}{=}0.8333\dots$
The first two decimal places represent hundredths.
$0.83333\dots =\frac{83.3333}{1000}=83.333\mathrm{%}$

RizerMix

Expert

Let's quickly review some fundamentals of fractions before moving on to the conversion from fraction to percentage. Always keep in mind that the denominator is the number that comes after the fraction line and the numerator is the number that comes before it. This will be put to use later in the tutorial.
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 5/6 is 6, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
$100÷6=16.666666666667$
Once we have that, we can multiple both the numerator and denominator by this multiple:
$\frac{5×16.6666666667}{6×16.6666666667}=\frac{83.3333333333}{100}$
Now we can see that our fraction is 83.333%

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