______Confident
Chapter/Lesson: Chapter 3 Lesson 8 Page: 122
Objective/Title: Equivalent Fractions
______Ok
Important Terms
Quick Solve
Numerator: the top number in a fraction
(number of parts you have)
Denominator: the bottom number in a
fraction (number of parts the whole is
divided into)
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Multiply the numerator and denominator
by the same number
Divide the numerator and denominator by
the same number.
Solve for a missing number by
determining what to multiply or divide by
based on the numbers that are given.
Equivalent: representing the same
amount
*What you do to the top you must do to
the bottom.
Practice Questions
Write two equivalent fractions. Use multiplication (by 2, 5, 10) to write one and division to write
the other. x2
1. 4
8
2. 6
12
6
×: 12
8
×: 16
4
2
6
3
6
÷: 3
8
÷: 4
12
6. 8
16
×: 48
14
×: 28
3
8
4
÷: 12
14
÷: 7
5. 6
24
6
24
9. 8
20
2
5
15
13. 6
21
10. 10
2
7
2
3
3
4
12
4. 10
20
×: 28
16
×: 32
3
10
5
÷: 7
16
÷: 8
16
8. 15
30
×: 20
33
×: 66
4
15
5
÷: 5
33
14
6
14
7. 8
10
8
10
11. 7
42
14. 15
20
3. 6
1
6
28
15. 16
32
12. 16
4
8
÷: 11
4
7
16. 30
100
3
10
Notes and Examples
*whatever you do to the top you must do to the bottom
*never divide or multiply by one: it doesn’t change your answer
*if finding answers for both multiplying and dividing you do not have to multiply and
divide by the same number
Multiply: (the answer or equivalent fraction is bigger than the original #)
1. To find an equivalent fraction by multiplying, simply multiply the numerator and
denominator by the same number.
(this is the original fraction)
3
5
× 2
× 2
=6
= 10
(this is the equivalent fraction)
*you can multiply by any number and it will work (use these numbers on homework:
2, 5, 10)
Divide: (the answer or equivalent fraction gets smaller than the original #)
2. To find an equivalent fraction by dividing, simply divide the numerator and
denominator by the same number.
(this is the original fraction)
5 ÷
15 ÷
5
5
=1
=3
(this is the equivalent fraction)
*you can only divide by a number that evenly goes into BOTH numbers
Missing Number:
3. If you are given a problem that contains the original fraction and either the
numerator or denominator of the equivalent fraction, you must first determine what to
multiply or divide by to get the equivalent numerator or denominator (whichever one is
already given.) Then solve for the missing number.
2nd fraction is bigger multiply
2nd fraction is smaller divide
10
16
= 8
10 ÷ 2 = 5
16 ÷ 2 = 8
I decided to divide by 2 to get from 16 to 8,
so I have to divide 10 by 2 to find the
missing number