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## Numbers & Operations - The Real & Complex Number Systems 201-210

### Unit 9: Lesson 8

Common fractions and decimals

# Common fractions and decimals

Become familiar with common fractions and decimals and converting between them.

## Want to join the conversation?

• how do you convert a percentage into a decimal?
• Move the imaginary decimal point two spaces to the left.
100% -> 1.00
50% -> 0.50
1% -> 0.01
You could also divide a percentage by 100 to get the decimal.
100%/100 is 1.00
50%/100 is 0.50
1%/100 is 0.01
• I tipped in 1/4 = 25/100 but it’s says it’s wrong why is that
• that is true but they are asking you to rewrite it as a decimal. 1/4 = .25
• can you times a decimal
• Yes. If you want to multiply a decimal, you have to just multiply the numbers, and put the decimal point in after. For example, 4 times 0.2 is 0.8.
• I don't get how a fraction can be converted into a decimal.
• The simplest method to transform a fraction number to a decimal value is to simply divide the numerator by the denominator to get the decimal value. The numerator is the top number and the denominator is the bottom.
• I can understand converting fractions to decimals but not decimals to fractions :(
• Converting decimals to fractions is actually easier. It's all in how you SAY the decimal. For example:

0.2 is pronounced two tenths and then is written 2/10
0.35 is pronounced thirty five hundredths an then is written 35/100

Get the idea?
• At , how is the moon large enough to block the sun? Isn't the sun way larger than the moon?”
• its likes when you put your hand Infront of something that's bigger than your hand if you stand closer it looks small if you stand farther, it looks bigger than the thing. so pretty much the moon looks bigger than the sun because the moon is much closer to the earth than then it the sun is much bigger than the moon and earth. (They deleted their question)
• the cursor is different its distacting
• go to settings and type mouse
(1 vote)
• i do not get the line and the dot
• they represent if it is a fraction or decimal
cuz with out the line 1/5 would be 15 and with out the point 1.5 would be 15. so 1/5 would equal 1.5, which isn't true. 1.5 is 15/10.
• how do you convert a decimal to a fraction
• To find the numerator, write the decimal but then erase the decimal point.

To find the denominator, use the place value of the last (rightmost) digit of the decimal.

Then reduce the fraction as needed.

Example: convert 0.075 to a fraction.

The numerator is 0075, or just 75.

In the decimal 0.075, the last digit, 5, is in the thousandths place. So the denominator is 1,000.

So we get 75/1,000. We divide top and bottom by 25 to reduce this fraction to 3/40.