Transcript Solve Equations with Multiplication and Division

Solve Fraction Equations
.
EQ: How do we solve equations of fractions
using multiplication and division
Designed by Skip Tyler, Varina High School
1) Solve. -5t = 60
To get the variable by itself, which
number needs to be moved?
-5
To move the -5, you have to do
the opposite operation. What
operation will we use?
division
1) Solve -5t = 60
-5 -5
1. Draw “the river” to
t = -12
separate the equation
2.
3.
4.
into 2 sides
Divide both sides by -5
Simplify
Check your answer
-5(-12) = 60
1.
2.
3.
4.
Draw “the river”
Divide both sides by 6
Simplify
Check your answer
6
6
2.5 = n
15 = 6(2.5)
3) Solve -3v = -129
v = -126
2. v = -43
3. v = 43
4. v = 126
1.
Answer Now
x
 12
4) Solve
4
You don’t like fractions? Let’s get rid of
them! 
“Clear the fraction”
by multiplying both sides of the
equation by the denominator.
1.
2.
3.
4.
Draw “the river”
Clear the fraction –
multiply both sides by 4
Simplify
Check your answer
x
 12
4
x
4 ·  12 · 4
4
x = -48
48
 12
4
1.
2.
2x
5) Solve
= 18
3
2x
3·
= 18 · 3
Draw “the river”
3
Clear the fraction –
3.
4.
5.
6.
multiply both sides by 3
Simplify
2(27)
Divide both sides by 2 3  18
Simplify
Check your answer
2x = 54
2
2
x = 27
6) Which step clears the fraction in
3b
 12
5
1.
2.
3.
4.
Multiply by 3
Multiply by 5
Multiply by -12
Multiply by -5
Answer Now
4b
 8
7) Solve
7
1.
2.
3.
4.
b = -56
b = -14
b = 14
b = 56
Answer Now