Name
Class
Date
Reteaching 2-2
Equivalent Forms of Rational Numbers
A fraction is in simplest form when the greatest common factor
(GCF) of the numerator and denominator is 1.
Example 1: Write 24
36 in simplest form.
Use prime factorization and circle the common factors.
24 2 2 2 3
36 2 2 3 3
2
So, 24
36 5 3 .
To write a fraction as a decimal:
Example 3: Write 0.375 as a fraction.
Divide numerator by denominator.
2
Divide until the remainder is 0 or until the
remainder repeats.
1
Write as a fraction
with the denominator 1.
3
Use a bar to show digits repeating.
2
Since there are 3 digits
to the right of the
decimal point, multiply
the numerator and the
denominator by 1,000.
3
Divide the numerator
and denominator by
the GCF.
4
Simplify.
Example 2: Write 65 as a decimal.
0.833
6q5.000
-48
20
-18
20
-18
2 ; Remainder repeats.
So 56 = 0.833. . . , or 0.833.
1
4
4. 232
40
4
5
375
1000
375 125
1000
125
83
So 0.375 38.
Write each fraction in simplest form.
1. 16
64
0.375 0.375
1
2. 230
48
12
5. 228
5
8
3
7
3. 42
63
6. 18
27
2
3
2
3
Write each fraction or mixed number as a decimal rounded to three decimal places.
7. 79
8. 2327
11. 43
10. 537
9. 59
1
12. 11
Write each decimal as a mixed number or fraction in simplest form.
3
1
4
13. 0.2 5
14. 0.16 25
15. 0.3 10
9
3
13
16. 2.75 4
17. 4.52 25
18. 0.36 25
88
Course 3 Lesson 2-2
Reteaching
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1
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To write a decimal as a fraction: