### Write each decimal as a fraction in simplest form.

Week 6, Day One
HW # 21- HOLT p. 68 # 19-52 even
Warm up
Write each decimal as a fraction in simplest form.
A. 8.75
B. 0.2625
C. 0.27
D. –0.625
E. Write 13/6
as a decimal.
A. 8.75
8.75
=
=
8
Warm
Up Response
75
100
3
4
8
5 is in the hundredths place, so write
hundredths as the denominator.
Simplify by dividing by the greatest
common divisor.
B. 0.2625
0.2625
=
=
C. 0.27
E. Write
2625
10,000
21
80
27
100
13/ 6 as a decimal.
5 is in the
tenthousandths place.
Simplify by dividing by the
greatest common divisor.
D. –0.625
2.16
5/ 8
Homework Check
Guided Practice # 1,11,17
1) 0.625
11) ¾
17) 3 21/100
• Writing Repeating Decimals as Fractions
• Chapter 1 quiz – pass back (≤20 pts see me at PT)
• Factor Trees II worksheet- compare with your
neighbor
• DO class work: p. 68 # 1-18 AND 27, 37, 45
To write a terminating decimal as a fraction,
identify the place value of the digit farthest to
the right. Then write all of the digits after the
decimal point as the numerator with the place
value as the denominator.
For Example
Write each decimal as a fraction in simplest form.
A. 5.37
5.37
=
5
37
100
B. 0.622
0.622
7 is in the hundredths place, so
write hundredths as the
denominator.
=
622
1000
2 is in the thousandths place, so
write thousandths as the
denominator.
=
311
500
Simplify by dividing by the
greatest common divisor.
Remember!
A fraction is in reduced, or simplest, form when the
numerator and the denominator have no common divisor
other than 1.
Example 2
Write each decimal as a fraction in simplest form.
A. 8.75
8.75
=
=
8
75
100
8
3
4
5 is in the hundredths place, so
write hundredths as the
denominator.
Simplify by dividing by the greatest
common divisor.
B. 0.2625
0.2625
=
=
2625
10,000
21
80
5 is in the
tenthousandths place.
Simplify by dividing by the
greatest common divisor.
Example: Writing Repeating Decimals as Fractions
_
Write 0.4 as a fraction in simplest form.
x = 0.44444…
10x = 10(0.44444…)
10x = 4.444444…
-x = -0.44444…
9x = 4
9x = 4
9 9
x=
4
9
Let x represent the number.
Multiply both sides by 10 because 1 digit
repeats.
Subtract x from both sides to eliminate the
repeating part. Since x = 0.44444…, use
0.44444… for x on the right side of the
equation.
Since x is multiplied by 9, divide both
sides by 9.
Example 2
__
Write 0.36 as a fraction in simplest form.
x = 0.363636…
100x = 100(0.363636…)
100x = 36.363636…
-x = -0.363636…
99x = 36
99x = 36
99 99
x = =36
99
Let x represent the number.
Multiply both sides by 100 because 2
digits repeat.
Subtract x from both sides to eliminate
the repeating part. Since x =
0.363636…, use 0.363636… for x on the
right side of the equation.
Since x is multiplied by 99, divide both
sides by 99.
4
11
Write in simplest form.