Transcript converting between percents decimals and fractions

Read the decimals
correctly. Identify the
place value of the last
digit.
Decimals to Fractions
Decimals to mixed
Numbers :
Reduce
Practice:
Read the decimals
correctly. Identify the
place value of the last
digit.
Ex: 0.237 = two hundred
thirty-seven thousandths
Write the decimal number as a
whole number over the value of
the place value of the last digit.
Ex: 0.237 = 237 / 1000
Decimals to Fractions
Decimals to mixed
Numbers :
Keep the whole
number the same:
Change the decimal to a
fraction.
Ex: 5.24 = 5 24/100 = 5 6/25
Reduce
Practice: 3.5
0.68
.024
4
Mixed Numbers
to decimals:
⌐
3
Fractions to Decimals
Types of Decimals:
Terminating:
Repeating:
Truncate:
Fractions and decimals
represent the same value
in different forms. ½ = 0.5.
Using Division: A fraction
is a division problem.
¾ means: 3 ÷ 4.
⌐
4 3
Hint: The numerator or (top
number) always goes inside
the house
Mixed Numbers
Fractions to Decimals
to decimals:
3 3/4
Keep the whole number the
same. Change the fraction to
a decimal. Put the whole
number with the decimal.
3. 75
Types of Decimals:
Terminating: Decimals that
end or have a final digit: 3.75
Repeating: Decimals that
repeat a digit or digits:
3.121212…
Truncate: Decimals where
you cut off after a certain
digit: 3.123
Percents
Fractions to Percents
Make the fraction equivalent to a
fraction over 100.
If the fraction cannot be written
over 100, make it a decimal, then
turn the decimal into a percent.
Decimals to Percents
Write the decimal as a fraction over
100.
Easy way to change decimals to
percent: Multiply the decimal by 100
or move decimal right twice
Percents
Percents to Fractions
Write the percent as a fraction over
100. (take off the %)(Simplify)
Percents to Decimals
Divide the percent by 100 .
Easy way to change percents to
decimals: move decimal left twice
Percents
Fractions with a denominator of
100 to Percents
Make the fraction equivalent to a
fraction over 100.
Fractions without a denominator
of 100 to Percents
If the fraction cannot be written
over 100, make it a decimal, then
turn the decimal into a percent.
5/10
2/7
¾
1/3
82/100
2/9
Percents to Fractions
Pair Share:
Rows One and Three turn to the person
behind you.
• 1’s tell 2’s how to turn a decimal into a
percent.
• 2’s tell 1’s how to turn a percent into a
decimal.