Fractions, Decimals, and Percents

Fractions

A fraction is a number that names part of a whole or part of a set of objects.

Numerator 5

_____

Denominator 9

Simplifying or Reducing

On your calculator, type in the fraction then press the “SIMP” button.

Mixed Numbers as Improper Fractions

A mixed number is a number with a whole number part and a fraction part.

6 2/3

An improper fraction is a fraction with a numerator that is greater than the denominator.

9/4

How to change a mixed number to an improper fraction.

4 ¼First, multiply the denominator by the whole

number 4 X 4 = 16

Then, add the numerator 16 + 1 = 17

Lastly, use the “17” as the numerator and keep the “4” as the denominator.

17 / 4

How to change an improper fraction to a mixed number.

9 / 4

Take the denominator and divide it into the numerator.

9 divided by 4 = 2 but you have 1 left over.

2 becomes the whole number, 1 will be the numerator, and keep 4 as the denominator.

2 ¼

Do NowOn your white boards, write down 2 proper fractions,

write 2 fractions you must simplify, 2 mixed numbers you must change to improper fractions, and 2 improper fractions you must change to mixed numbers.

2/3 and 5/72/4 = ½ and 6/10 = 3/5

3 4/5 = 19/5 and 2 2/3 = 8/3

20/7 = 2 6/7 and 13/4 = 3 1/4

Decimals

A decimal is a number that has at least one place to the right of the decimal point.

Equivalent

Having the same value.

Fractions and decimals can be equivalent.

¼ = 0.25

½ = 0.50

¾ = 0.75

4/4 = 1

Converting decimals and fractions

Type in the fraction or decimal you began with.

½Then hit the F D key.The calculator will automatically change the

fraction ½ to the decimal 0.5 (0.50).*Keep pressing the key until the fraction is in

its simplest form.

Let’s practice! Use your calculator to convert these fractions

and decimals. Write the answer on your white board and hold it up.

5/6 5.75 9/12

4 4/8 3.12

Repeating Decimals

A decimal that has a repeating sequence of numbers after the decimal point.

4.5666666 = 4.56

32.34343434 = 32.34

Do Now

On your white boards, write down 5 repeating decimals (the long version and the short version).

Percents

A percent is the ratio of a number to 100.

A ratio is a comparison of two numbers using division.

Percents

When you are given a decimal:

0.65

move the decimal point 2 places to the right in order to change it to a percent.

0.65 = 65%

Fractions to Percents

If you are given a fraction, simply change the fraction to a decimal and then move the decimal point 2 places to the right.

¾ = 0.75 = 75%