Transcript DO NOW

Objectives of the Day
To be copied into your weekly packet
Students will be able to (SWBAT):
• Convert decimals to fractions in simplest form
• Convert decimals to mixed numbers in simplest
form
Converting from decimals to fractions
0.4
1) Read and write the
decimal with the
proper place value
2) Place the numbers to
the right of the decimal
over the place value
mentioned
3) Reduce to lowest
terms
Four-Tenths
4
10
4 ÷2
2
=
10 ÷ 2
5
Why does this work?
Let’s look at it visually!
In words:
Four-Tenths
As a decimal:
0.4
As a fraction:
2
5
Converting from decimals to fractions
0.75
1) Read and write the
Seventy-five
decimal with the
hundredeths
proper place value
2) Place the numbers to
75
the right of the decimal
100
over the place value
mentioned
3) Reduce to lowest 75 ÷ 5 = 15 ÷ 5 =
terms
100 ÷ 5 20 ÷ 5
3
4
Converting from decimals to fractions
0.16
1) Read and write the
Sixteen
decimal with the
hundredeths
proper place value
2) Place the numbers to
16
the right of the decimal
100
over the place value
mentioned
3) Reduce to lowest 16 ÷ 2 = 8 ÷ 2 =
terms
100 ÷ 2 50 ÷ 2
4
25
Converting from decimals to fractions
0.008
1) Read and write the
decimal with the
proper place value
2) Place the numbers to
the right of the decimal
over the place value
mentioned
3) Reduce to lowest
terms
Eight
thousandths
8
1000
1
125
Converting from decimals to fractions
0.0024
1) Read and write the
decimal with the
proper place value
2) Place the numbers to
the right of the decimal
over the place value
mentioned
3) Reduce to lowest
terms
Twenty-four
ten-thousandths
24
10000
3
1250
Converting from decimals to fractions
What happens if there’s a number to
the left of the decimal (a whole
number)?
We’ll have to modify our steps:
1) – 3) Stay the same – find the
fraction
4) Place the whole number in front of
the fraction to make a mixed number
Converting from decimals to fractions
3.4
We already completed
1) – 3)
4) Place the whole
number in front of the
fraction to make a
mixed number
2
5
2
3
5
Converting from decimals to fractions
1.36
1) Read and write the
decimal with the proper
place value
2) Place the numbers to the
right of the decimal over
the place value mentioned
3) Reduce to lowest terms
4) Place the whole number
in front of the fraction to
make a mixed number
One and thirtysix hundredths
36
100 9
25
9
1
25
Converting from decimals to fractions
4.045
1) Read and write the
decimal with the proper
place value
2) Place the numbers to the
right of the decimal over
the place value mentioned
3) Reduce to lowest terms
4) Place the whole number
in front of the fraction to
make a mixed number
9
4
200
Word Problem Practice
Shavelle likes to bake. She bought a
package of flour that contains 7.25 cups of
flour. She would like to know this number in
fraction form so she can use her measuring
cups. Write this amount as a mixed number.
1)
2)
3)
4)
Read and write the decimal with the
proper place value
Place the numbers to the right of the
decimal over the place value
mentioned
Reduce to lowest terms
Place the whole number in front of
the fraction to make a mixed number
1
7
4
Converting from decimals to fractions
Higher-level thinking challenge:
What if we wanted to convert from a
decimal to an improper fraction?
How would you do that?
Exit Questions
A student was able to throw a ball 10.032
yards. Write this distance as a mixed number.
CHALLENGE: Write this distance as an
improper fraction.