1. 5-1 (A – B) Fractions & Decimals
To change a fraction into a decimal you divide the denominator into the numerator.
Ex. ¾ 4) 3.00
- 2 8 20
- 20
Decimals will either be Terminating or Repeating. If a decimal is Repeating use the
bar notation to show a repeating pattern.
Ex … would be written (cont )
.75

2. ….continued
To change a decimal to a fraction use place value position to determine the denominator. Then reduce.
Ex =
.005 = =
hundredths =
thousandths

3. 5-2 (B) Percents as Fractions
To change a % to a Fraction: Place the percent over and reduce.
Ex: 15 % = =
% means per-100

4. 5 – 2 (C) Fractions as Percents
If you have a fraction with a denominator of 100, then the numerator is the % 5
100
If not, change a fraction to an equivalent fraction over 100, then the numerator = % Ex
5 % = = =
50 %

5. 5-2 (D) Percents & Decimals
To change a decimal into a Percent you move the decimal point 2 spaces RIGHT and add a % sign.
Ex = 75%
To change a % into a decimal you move the decimal point 2 spaces LEFT and drop the % sign.
Ex. 5% = % = % = .786

6. 5-3 (B, D) Compare & Order Fractions, Decimals & Percents
To compare fractions: find the LCD & rename
….continued on next slide.
Comparing the fractions w/ LCD shows that fractions from least to greatest are:

7. You can also compare using Cross Products:
Using Cross Products can help you determine which is >, < or =.
since 77 < 90 then
To order fractions, decimals and percents you need to put all the terms in the same form.
Ex ½ % ½ %
54% 50% 53% or
1 option: change everything to a % or change everything to a decimal
<

8. 5-4 (B) Estimate with Percents
Estimating with percents will provide a reasonable solution to many real-world problems (p. 293)
Ex. #1: 48% of 492 ≈ 50% of 500 ≈ 250
Ex. #2: 18% of 42 ≈ 20% ≈ 20 ≈ 1 of 40 ≈ 8

9. 5-4 (D) Percent of a Number
To find a percent of a number, change the percent to a decimal (lesson 5-2 D) and multiply.
Ex.: 45% of
x .45
750
+ 6000
6750
change a % to a decimal by
moving the decimal point 2
places to the LEFT .