How is a percentage related to a fractiion

The “%” symbol basically denotes that there is 100 in the denominator. To express a percent as a fraction, simply remove the (%) sign and write that number as a fraction whose denominator is 100. Any good? Let me know.

i don't understand anything tbh

You have to keep trying over and over. Watch other videos on what you are learning. Practice makes perfect!

they need to explain it better

In my opinion, I would say that Sal explains it perfectly. HE provides us with FAQs like this one and practice. I have been using khan Academy for 3 years and it has not failed me. Thank you

this is still very confusing can someone pls explain it easier

Here is some help, say we had this question: "What is 12% of 800?" Well, 12% of 100 is 12, so 12*8 = 96. ↑ This eight comes from 800/100 = 8. So 96 is 12% of 800. PS. Please upvote so more people can see this, cuz everybody hates this part of math.

Everyone has different talents. So if your not good at math you are good at something. Be confident, cheer up, and study. Good luck!

Main content

Course: 6th grade > Unit 3

Lesson 6: Percent word problems

Rates and percentages FAQ

Google Classroom

Frequently asked questions about rates and percentages

What is a rate?

A rate is a comparison of two quantities that have different units. For example, if we say that a bus travels

240

kilometers in

15

hours, we are comparing kilometers and hours. We can write this rate as

\frac{240 km}{15 hours}

240

kilometers per

15

hours. Rates tell us how fast, how often, or how much something happens.

What is a unit rate?

A unit rate is a special kind of rate that compares a quantity to one unit of another quantity. For example, if we want to know how many kilometers the bus travels in one hour, we can divide the total distance by

15

. We get

\frac{240 km}{15 hours} = \frac{16 km}{1 hour}

. This is a unit rate, and we can write it as

16

kilometers per hour. Unit rates tell us the amount of one quantity for every one unit of another quantity.

What is a percent?

A percent is a way of expressing a part of a whole as a fraction out of

100

. For example, if

2

salmon survive to adulthood out of

100

salmon who hatched, we can write this as

\frac{2}{100}

2 %

. The symbol

%

means "out of

100

" or "per

100

". Percents tell us how much of something is in a group or a whole.

How can we visualize percentages?

We can use different models to help us see what percentages mean. One common model is a

100

-grid, which is a square divided into

100

smaller squares. Each small square represents

1

. For example, if we shade

25

squares out of

100

, we can see that this is the same as

25 %

of the whole square.

Another common model is a circle graph or a pie chart, which is a circle divided into parts that show the percentages of a whole. Each part of the circle represents a percentage of the whole circle. For example, if we cut a circle into

4

equal parts, each part is

25 %

of the circle.

How can we find equivalent representations of percent problems?

Sometimes, we can use different ways to represent the same percent problem. For example, if we want to find

30 %

50

, we can use a fraction, a decimal, or a ratio. Here are some equivalent representations of

30 %

50

\begin{aligned} 30 % \times 50 & = \frac{30}{100} \times 50 \\ = 15 \\ 30 % \times 50 & = \frac{3}{10} \times 50 \\ = 15 \\ 30 % \times 50 & = 0.3 \times 50 \\ = 15 \end{aligned}

We can also use the formula

part = percent \times whole

to find any missing value in a percent problem. For example, if we know that

15

30 %

of some number, we can use the formula to find the number:

\begin{aligned} 15 & = 30 % \times number \\ 15 & = 0.3 \times number \\ 15 \div 0.3 & = number & Rewrite as division equation. \\ 50 & = number \end{aligned}

Where are rates, unit rates, and percents used in the real world?

Rates, unit rates, and percents are used in many situations in the real world, such as:

Comparing prices of different items or services that have different units, such as dollars per pound, miles per gallon, or minutes per call. Unit rates help us find the best deal or the most efficient option.
Calculating tips, taxes, discounts, interest, or commissions that are based on percentages of amounts. Percents help us find how much we pay or earn in different situations.
Analyzing data, statistics, or surveys that show the percentages of different categories, groups, or outcomes. Percents help us understand and compare the information in different ways.

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How is a percentage related to a fractiion
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  The “%” symbol basically denotes that there is 100 in the denominator. To express a percent as a fraction, simply remove the (%) sign and write that number as a fraction whose denominator is 100.
  
  Any good?
  Let me know.
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this is still very confusing can someone pls explain it easier
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- Van-Houston
  Posted a year ago. Direct link to Van-Houston's post “Here is some help, say we...”
  Here is some help, say we had this question: "What is 12% of 800?"
  Well, 12% of 100 is 12,
  so 12*8 = 96.
  ↑ This eight comes from 800/100 = 8.
  So 96 is 12% of 800.
  PS. Please upvote so more people can see this, cuz everybody hates this part of math.
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the video does not help me at and this is so confusing
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they need to explain it better
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- jainatul83
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  In my opinion, I would say that Sal explains it perfectly. HE provides us with FAQs like this one and practice. I have been using khan Academy for 3 years and it has not failed me. Thank you
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