Download Chapter 5: Operations with Fractions

Chapter 5: Operations with
Fractions
5.1
Comparing and Ordering
Fractions
Fractions!
126
127
3
2
5
Converting Fractions
• Reducing:
– divide numerator/denominator by the same number
• From mixed number to improper fraction:
– Multiply the base times the denominator, add the
numerator, answer is put over the original
denominator and reduce
• From improper fraction to mixed number:
– Divide the numerator by the denominator, and put
the remainder over the denominator
Multiples
• Product of a number and any nonzero
whole number
• Least Common Multiple (LCM):
– Smallest number that is a common multiple of
the given numbers
Example 1
• Today, both the school baseball and school
soccer teams had games. The baseball team
plays every 6 days. The soccer team plays
every 5 days. When will both teams have
games on the same day again?
Example 2
• Find the LCM of 12 and 40.
Example 2a
• Find the LCM of 12, 15, 18.
Example 3
• Find the LCM of 6a2 and 18a3.
Example 3a
• Find the LCM of 25y2 and 15x.
Example 4
• Compare the fractions in each pair:
9 6
,
11 11
1 1
 ,
2 10
Least Common Denominator
• LCM of the denominators
• Don’t HAVE to use LCM method, but
you’re looking for the lowest possible
multiply of the denominators!
Example 5
• The math team won 5/8 of its competitions
and the debate team won 7/10 of its
competitions. Which team won the greater
fractions of competitions?
Example 5a
• Compare the fractions:
6 4
,
7 5
Example 6
• Order ½, ¾, and 2/5 from least to greatest.
Homework!
• P. 235:
• 1-4, 10-13, 27-30, 31-34