Download Solving Equations With Fractions(4-6a).

COURSE 2 LESSON 4-6
Solving Equations With Fractions
Solve x + 2 = 3 1 .
5
2
x + 2 = 31
5
2
x + 2 – 2 = 31 – 2
5
5
2
Subtract 2 from each side.
5
5
x=35 – 4
10
x=3
Find the LCD, which is 10.
10
1
10
Subtract the numerators.
Write as a mixed number.
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COURSE 2 LESSON 4-6
Solving Equations With Fractions
Two-thirds of the books Jose read this year were fantasy books.
He read 12 fantasy books. How many books did Jose read in all?
Words
two-thirds of books read equals fantasy books
Let f = number of books read
Equation
2
3
•
f
=
12
2
f = 12
3
3 2
3 12
• f= •
2 3
2 1
Multiply each side by 3 , the reciprocal of 2 .
2
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3
COURSE 2 LESSON 4-6
Solving Equations With Fractions
(continued)
18
1
Multiply.
f = 18
Simplify
1f =
Check 2 (18) = 36 = 12.
3
3
Jose read 18 books.
4-6