What is your grade if you get 13 out of 16?

13: 16*100 =

(13*100): 16 =

1300: 16 = 81.25

Now we have: 13 is what percent of 16 = 81.25

Question: 13 is what percent of 16?

Percentage solution with steps:

Step 1: We make the assumption that 16 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={ 16}.

Step 4: In the same vein, {x\%}={13}.

Step 5: This gives us a pair of simple equations:

{100\%}={ 16}(1).

{x\%}={13}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{ 16}{13}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{13}{ 16}

\Rightarrow{x} = {81.25\%}

Therefore, {13} is {81.25\%} of { 16}.

What grade is 13 correct out of 16 possible?

(13/16) x 100 = 81.25%

B-

What grade is 13 correct out of 17 possible?

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A fraction consists of two numbers and the fraction bar:

13/16

The number above the fraction bar is the numerator: 13

The number under the fraction bar is the denominator: 16

To get the fraction's value, divide the numerator by the denominator:

The value = 13 ÷ 16

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% = p/100 = p ÷ 100.

1) Calculate the value of the fraction.

2) Multiply this number by 100.

3) Add the percent sign %

13/16 =

13 ÷ 16 =

0.8125

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100
... and its value doesn't change.

n × 100/100 = n × 1 = n, any number n

0.8125 =

0.8125 × 100/100 =

(0.8125 × 100)/100 =

81.25/100 =

81.25%

The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, ≈ approximately the same. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.

It's very common when learning about fractions to want to know how convert a fraction like 13/16 into a percentage. In this step-by-step guide, we'll show you how to turn any fraction into a percentage really easily. Let's take a look!

Want to quickly learn or show students how to convert 13/16 to a percentage? Play this very quick and fun video now!

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this 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 13/16 is 16, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 16 = 6.25

Once we have that, we can multiple both the numerator and denominator by this multiple:

13 x 6.25 / 16 x 6.25 = 81.25 / 100

Now we can see that our fraction is 81.25/100, which means that 13/16 as a percentage is 81.25%.

We can also work this out in a simpler way by first converting the fraction 13/16 to a decimal. To do that, we simply divide the numerator by the denominator:

13/16 = 0.8125

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.8125 x 100 = 81.25%

And there you have it! Two different ways to convert 13/16 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!

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• What is 13/17 as a percentage?

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What is 13 out of 16 as a percentage?

81.25%

What is 13 out of 17 as a percentage?