Math 6 NOTES (2.1a) Name____________________________ Least Common Multiple (LCM) To find the LCM, list the multiples of each number and select the first in
common!
Multiples of 6: Multiples of 10: TRY IT! 1) Find the LCM of 3 and 12. 2) Find the LCM of 4 and 5. Math 6 NOTES (2.1b) Name____________________________ Equivalent Fractions Equivalent fractions are fractions that name the same amount in different ways. Example:
1 3
=
2 6
Drawing:
Steps to finding equivalent fractions 1.
1
Ex: 3
1. Rewrite your original fraction. 2. Multiply it by a whole number in the form of a fraction with the same number in the numerator and denominator. 2.
x
=
3.
is an equivalent fraction
3. The product is an equivalent fraction. Directions: Find the missing numbers in the equivalent fractions Example:
“Think: How does 11 become 33?” “Think: How does 4 become 1?” “Think: How does 4 become 1?” Now do that to the bottom! Now do that to the bottom! Now do that to the top!
Math 6 NOTES (2.1c) Name____________________________ Least Common Denominators (LCD) • To create fractions with common denominators: 1. Identify the least common multiple of the denominators of the fractions you are working with. 2. Create equivalent fractions with that least common multiple as the denominator. Examples – Find the LCD of each set of fractions and re-­‐write as equivalent fractions. !
1)
!
!
!
2)
!
!
and !
!
!
and ! becomes and and
!
!
!
!
!
and ! becomes and Math 6 Homework (2.1) Find the LCD of each set of fractions and re-­‐write each fraction with the common denominator. 1)
4)
!
!
!
!
and and !
!
!
!
2)
5)
!
!
!
!
and
and
!
!
!
!
3)
6)
!
!
!
!"
and
and
!
!
!
!