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Pre-Algebra Interactive Chalkboard
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GLENCOE DIVISION
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, Ohio 43240
Lesson 5-5
Adding and Subtracting Like Fractions
Lesson 5-6
Least Common Multiple
Example 1 Add Fractions
Example 2 Add Mixed Numbers
Example 3 Subtract Fractions
Example 4 Subtract Mixed Numbers
Example 5 Add Algebraic Fractions
Find
. Write the sum in simplest form.
Estimate
The denominators are the
same. Add the numerators.
Answer:
Simplify and rename as a
mixed number.
Find
Answer:
. Write the sum in simplest form.
Find
. Write the sum in simplest form.
Add the whole numbers
and fractions separately.
Add the numerators.
Answer:
Simplify.
Find
Answer:
. Write the sum in simplest form.
Find
. Write the difference in simplest form.
Estimate
The denominators are the same.
Subtract the numerators.
Answer:
Simplify.
Find
Answer:
. Write the difference in simplest form.
. Estimate
Evaluate
Replace r with
and q with
Write the mixed numbers as
improper fractions.
Subtract the numerators.
Answer:
Simplify.
.
Evaluate
Answer:
.
Find
. Write the sum in simplest form.
The denominators are the same.
Add the numerators.
Add the numerators.
Answer:
Simplify.
Find
Answer:
. Write the sum in simplest form.
Example 1 Find the LCM
Example 2 The LCM of Monomials
Example 3 Find the LCD
Example 4 Find the LCD of Algebraic Fractions
Example 5 Compare Fractions
Find the LCM of 168 and 180.
Number
Prime Factorization
Exponential Form
168
180
The prime factors of both numbers are 2, 3, 5, and 7.
Multiply the greatest powers of 2, 3, 5, and 7 appearing
in either factorization.
Answer: The LCM of 168 and 180 is 2520.
Find the LCM of 144 and 96.
Answer: 288
Find the LCM of
.
Multiply the greatest power of
each prime factor.
Answer: The LCM of
.
Find the LCM of
Answer:
.
Find the LCD of
.
Write the prime factorization of 8 and 20.
Highlight the greatest power of each prime factor.
Multiply.
Answer: The LCD of
.
Find the LCD of
Answer: 36
.
Find the LCD of
Answer: The LCD of
.
.
Find the LCD of
Answer:
Replace with <, >, or = to make
statement.
a true
The LCD of the fractions is
. Rewrite the
fractions using the LCD and then compare the numerators.
Multiply the fraction by
to make
the denominator 105.
Multiply the fraction by
the denominator 105.
to make
Answer: Since
is to the left of
, then
.
on the number line.
Replace with <, >, or = to make
statement.
Answer: <
a true