Converting decimals,fractions,percents

Converting is not as tough as it looks, keep reading and I'll show you how to convert.
Converting means to change a fraction,decimal or a percent.

Converting fractions to decimals. 

You will need your numerator and your denominator (The numerator is how much pieces your using, the denominator is how much you have) and divide them both, ex. 3 divided by 12 is 0.25 (when were talking about fractions, that line in between the two numbers always means divide). 

Converting decimals to fractions.

There is not really an explanation of how to convert or change decimals to fractions.You just have to say it (ex. o.5= 5/10 (5 tenths), 0.32= 32/100 (32 hundreths).

Decimals to percents.

Decimals to percents are most likely the easiest "topic" to do when your converting. Just multiply the decimal by 100 and get the percentage of it. (ex. 0.40x100=40%, 0.64x100=64%)

Percents to Decimals.

Percents to decimals is exactly like decimals to percent but only opposite when it comes to multiplying. In this case (Percents to decimals) you will have to divide. (ex. 68 divided by 100=0.68, 9 divided by 100= 0.09, etc.

Percents to fraction.

The max pieces we have (or 100%) will be the denominator and how much we have (percentage) will be our numerator. ex. 60%=60/100, 12%=12/100.(Remember, denominator= how much pieces we have, numerator=how much pieces we are using.)

Thanks for reading,hope I helped you out by even just a bit. 

Have a great day,

                       Gabby S 7-72.

Operations with Decimals

Adding: When adding decimals together you can add the same types of place values of decimals together like the tenths place number together, hundredths place, etc. Afterwards you can add it all up to get your answer. 
ex. 3.2+2.4
wholes- 3.+2.=5.
tenths- 0.2+0.4=0.6
5.+0.6=5.6

Subtracting: When subtracting decimals together, like the adding method you can add the same types of place values together. After you can add the numbers together to get your answer.
ex. 5.2-2.1
wholes- 5.-2.=3.
tenths- 0.2-0.1=0.1
3.+0.1=3.1

Multiplying: When multiplying decimals you have to multiply whatever the number you want by the place values of the number your multiplying it with. After add up the numbers to get your answer.
ex. 2x2.13
wholes- 2.x2.=4.
tenths- 2x0.1=0.2
hundredths- 2x0.03=0.06
4.+0.2+0.06=4.26

Dividing: When dividing decimals you can divide the number you want by the place values in the number your multiplying it with. After add up the the numbers to get your answer.
ex.  0.22 divided by 2
tenths- 0.2 divided by 2= 0.1
hundredths- 0.02 divided by 2=0.01
0.10+0.01=0.11

Adding: if you are adding a decimal with a whole number, put whatever the whole number is before the decimal to get the answer.
Example: 14 + 0.6 = 14.6

Subtracting: if you are subtracting a decimal from a whole number, take each place value away one at a time to get the answer.
Example: 10 - 0.546 = 9.454
10 - 0.5 = 9.5
9.5 - 0.04 = 9.46
9.46 - 0.006 = 9.454

Multiplying: if you are multiplying a decimal by a whole number, multiply the whole number by each place value. Then, add the numbers together to get the final answer.
Example: 0.324 x 3 = 0.972
3 x 0.3 = 0.9     3 x 0.02 = 0.06     3 x 0.004 = 0.012
0.9 + 0.06 = 0.96     0.96 + 0.012 = 0.972

Dividing: if you are dividing a decimal by a whole number by each place value one at a time. Then, add up the numbers to get the final answer.
Example: 0.14 ÷ 3 = 0.04666...(repeating)
0.1 ÷ 3 = 0.0333...(repeating)     0.04 ÷ 3 = 0.01333...(repeating)
0.0333...(repeating) + 0.01333...(repeating) = 0.04666...(repeating)

Operation with Decimal

Adding: First you add the ones place together then add your tenths,hundredths,thousandths,etc. If your tenths place is higher than ten it means that it has a whole number.
Example: 1.4 + 2.9
1.0+2.0= 3.0 0.4+0.9= 1.3
3.0 + 1.3= 4.3


Subtracting: First you need to subtract the ones place together then subtract the tenths place together and then add the answers together.
Example: 4.3-3.1
4.0-3.0= 1.0 0.3-0.1=0.2
1.0+0.2= 1.2


Multiply: Multiply normally, ignore the decimals.Then just put the decimals in the answer. In other words, just count up how many numbers are after the decimal point in both numbers you are multiplying, then the answer should have that many numbers after its decimal point.
Example:
0.03 x 1.1 
Ignore the decimals= 3 x 11=33
0.03 has 2 decimals places and 1.1 has 1 decimal place so the answer has 3 decimal places: 0.033

Decimals: Use long division and ignore the decimal point.Then put the decimal point in the same spot as the divided.
Example:9.1 divided by 7 
     13

7 )91
   9            
   7
   21
   21
    0

Put the decimal point in the answer directly above the decimal point in the divided.

  1.3
7 )9.1    

1.3 is the final answer