solving fraction equations by multiplying
Post on 31-Dec-2015
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Solving Fraction Equations by
MultiplyingLesson 5-5
If the variable is in the fraction…
• When the variable is the numerator of the fraction, then it suggests a division problem.
• To solve a division problem, the inverse operation is multiplying.
Example
y
8= 20
This equation reads “y divided by 8 equals 20.”
The opposite of dividing by 8 is multiplying by 8.
Multiply both sides by 8.
y
8= 208
1·
11
y1
=
·8
160
y =160
Example 2
m2
= 3·21
11
m1 =
· 2
6
m =6
Check answers in the original equation.
m2 =362 =3
3 =3
If the variable is being multiplied by a fraction…
• To isolate a variable that is being multiplied by a fraction, multiply by the reciprocal.
• Perform the same operation on the other side of the equation.
Example
23
r = 10·32
1111
1r =
· 321
5
1151
r = 15
Homework Time
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