Conversion Triangle

Decimals, Decimals, Decimals

100

Convert to a decimal:

90%

.90 or .9

200

Convert to a decimal:

7%

.07  (Move the decimal point two places to the left!)

300

Convert to a decimal:

456%

4.56  (After moving two places we are still behind the four.)

400

Convert to a decimal:

2/5 

0.4  (Don't forget to divide!)

500

Convert to a decimal:

2/9

.222 (Repeating)

Percentages are gold

100

Convert to a percent:

.76

76%  (Move the decimal point two spaces to the right.)

200

Convert to a percent:

.873

87.3%  (After moving two spaces, we still have a decimal at the end of our percent.)

300

Convert to a percent:

4.78

478%  (Now that's a big percentage!)

400

Convert to a percent:

3/5

60%  (Remember, we need to divide first and get a decimal. Then we convert that into a percent.)

500

Convert to a percent:

81/100

81%  (We can divide like we did before, or you can look at the denominator and think about placement value and where the decimal will go.)

Fraction Time!

100

Convert to a fraction (Remember to SIMPLIFY):

.5

5/10 Simplified to 1/2  (Remember, we write it like we Say It!)

200

Convert to a fraction (Remember to SIMPLIFY):

.89

89/100  (This cannot be simplified so we leave it as is.)

300

Convert to a fraction (Remember to SIMPLIFY):

25%

25/100 simplified to 1/4  (We start by converting to a decimal and then writing it like we say it, then simplifying.)

400

Convert to a fraction (Remember to SIMPLIFY):

.09

9/100  (Look carefully at the placement value of 9, which is in the hundredths place not the tenths place.)

500

Convert to a fraction (Remember to SIMPLIFY):

3.31

3 (31/100)  If we have a number in front of our decimal, then that number becomes a whole and we get a mixed fraction.)

Rules are meant to be followed!

100

How do I convert from a decimal to a percent?

I move the decimal point two places to the right!

200

How do I convert a percent to a decimal?

I move the decimal two places to the left!

300

How do I convert a fraction to a decimal?

I divide!

400

How do I convert a decimal to a fraction?

I write it like I say it!  (By looking at the placement value.)

500

How do I convert a fraction into a percentage?

I divide it out and then move the decimal point two spaces to the right!

Extra Hard Questions!

100

Convert to a fraction (Remember to SIMPLIFY):

.66

33/50

200

Convert to a decimal:

115.9%

1.159

300

Convert to a percentage:

234.761

23,476.1%

400

Convert to a decimal:

1(1/2)

1.5  (Convert to a mixed number, then divide like we normally would.)

500

Convert to a percentage:

2(1/10)

210%  (Convert to a mixed fraction, then divide, then move the decimal place two places to the right!)