Transcript Fractions, Decimals, and Percents

Fractions, Decimals, and Percents
Fractions
A fraction is a number that names part of a
whole or part of a set of objects.
Numerator
Denominator
5
_____
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.
4¼
First, 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.
2¼
Do Now
On 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 5/7
2/4 = 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.
½
Then 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
4 4/8
9/12
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%