4-2 Equivalent Fractions

Page 147

Vocabulary Words

A Multiple- of a number is the product of the number and a nonzero whole number.

Example: List the first 4 multiples of 5….

5, 10, 15, 20

More Examples of Multiples

List the four multiples of eight.

List four multiples of eleven.

8,16,24,32

11,22,33,44

Your turn make up a problem for your partner. List the first four multiples of ________?

Explain how you find multiples of a number.

Vocabulary

Least Common Multiple (LCM) – of two numbers is the least number that is a multiple of both.

Ex: Find the LCM of 3 and 4 Step one. List the multiples of 3.. 3, 6, 9, 12 Step 2: List the multiples of 4….. 4, 8, 12 Step 3: Find the smallest (least )number they

have in common…in this case 12.

Find the LCM of 6 and 9.

Multiples of 6: 12, 18, 24, 30, 36

Multiples of 9: 9, 18, 27, 36

The LCM of 6 and 9 is 18.

More examples:

Find the LCM of each pair of numbers: #1. 4, 10

4, 8, 12, 16, 20, 24

10, 20

So the LCM of 4 and 10 is: 20

#2. 5,75, 10, 15, 20, 25, 30, 35

7, 14, 21, 28, 35

Answer is 35

Your turn

What is the LCM of 12 and 15? What is the LCM of 6 and 10?

Answers:

60 and 30

Vocabulary word

A factor- is a whole number that divides another whole number with no remainder.

Example: Find the factors of 30.

**Find all the pairs of numbers with a product of 30.

1 x 30, 2x 15, 3 x 10, 5 x 6The factors of 30 are: 1,2,3,5,6,10,15 and 30

Your turn

Find the factors of 8.

1x4, 2 x 4

So the factors of 8 are: 1, 2, 4, and 8.

Find the factors of 32.

1 x 32, 2 x 16, 4 x 8,

Factors are: 1, 2, 4, 8, 16, and 32

Vocabulary Word

Equivalent fractions: fractions that are equal.

Example: ½ is equal to 5/10. You can find equivalent fractions by

multiplying or dividing the numerator and denominator by the same number.

1 x 5 = 5 2 x 5 = 10

Your turn

List three fractions that are equivalent to ¾

Possible Answers: 6/8, 9/12, 12/16.

What you learned today:

Multiple LCM Factor Equivalent fractions

Assignment

Book assignment: page 149-150

2-12 evens18-30 evens34-50 evens