Lesson 5 Enrich Fractional Equations

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Lesson 5 Enrich
Fractional Equations
To solve equations containing fractions, multiply both sides by the least common denominator.
Then solve using inverse operations and properties of equality.
2x
x
Example Solve −
-−
= 6.
5
10
2x
x
-−=6
−
5
10
The least common denominator is 10.
2x
x
10 −
-−
= 10(6)
5
10
)
(
2x
x
- 10(−
= 10(6)
10(−
5)
10 )
4x - x = 10(6)
3x = 60
3x
60
=−
−
3
3
x = 20
Exercises
Solve each equation. Check your solutions.
x
3x
4
2. −
=−
+−
3
3
8
3x
1. −
-x=1
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2
y
4
y
6
a
3. − - − = 5
a
4. 2a + −
=−
+5
3
x+1
x-2
5. −
=−
4
3
x-2
x-1
6. −
+−
=1
3
2
4
x+2
x-3
2
7. −
-−
+−
=0
5
15
d
x+8
x-7
10. −
+2=−
5
10
1
9. - −
+d=−
4
8
11. z + −z = 14 - −z
4
x+4
x - 11
8. −
-4= −
4
3
3
2
y+3
y-4
1
12. − - − = −
3
6
16
Math Accelerated • Chapter 8 Equations and Inequalities