1. Solving Equations Involving Fractions

2. Solving Equations with Fractions
Which # could you multiply 𝟑 𝟕 to get the product 3?
7 x 𝟑 𝟕
= 3
Which # could you multiply 𝟓 𝟔 to get the product 5?
6 x 𝟓 𝟔
= 5

3. 𝒏 𝟒 = 5 n = 20 HOW??? Like this... Watch... Solve like before!! (4)
The easiest way to solve a fraction equation is to first get rid of the fraction !!!
Example 1 - Solve for n
HOW???
(4)
𝒏 𝟒 = 5
n = 20
Multiply each term by the denominator!!
(4)
Like this...
This will cancel the denominator, leaving just numerator!!
Watch...
Solve like before!!

4. Solve As Normal Ex. 2 – Solve for x
Multiply each term by the common denominator!!
Cancel out terms and Multiply the rest
Solve As Normal

5. Ex. 3 – Solve for m
First, multiply each term by the common denominator!!
This will cancel the denominator, leaving just numerators!!
m has a denominator of one, so just multiply 8 times m.
Now solve!!
... and reduce!!

6. Now solve!! Practice - Solve for y
Hint: First, multiply each term by the common denominator!!
Now solve!!

7. Practice 2 - Solve for x
The problem looks different again but still follow the same steps.
First, multiply each term by the common denominator!! What is it?
NOW, divide 3 into 12. This will cancel the 3.
This will give you 4. Now multiply 4(-2).
Now solve!!

8. Practice 3 - Solve for x – Next Level
First, multiply each term by the common denominator!! What is it?
3 will go into 6, 2 times.
(2)(-2) = -4
(2)
(3)
(3)
(6)
(6)
- 2 3 𝑥 − 1 2 = 1 2
(6)
2 will go into 6, 3 times.
(3)(-1) = -3
-4x -3
= 3
2 will go into 6, 3 times.
(3)(1) = 3
= +3
-4x = 6
Now solve!!
x =
x =
x =

9. Alex can drive 200 km in the one day.
Word Problems:
Alex rents a car for one day. The charge is $18 plus $0.12 per kilometers. Alex wants to spend exactly $42. How many kilometers can he drive?
Let m equal how many km.
m = 42
0.12 m = 24
m = 200
Alex can drive 200 km in the one day.
Step 1: Underline any key information
Step 2: Write a let statement. What does our variable represent?
Step 3: Write an equation:
Step 4: Solve the equation:
Step 5: Re-read the question. Does your answer make sense?
Ex. 2 Katie wants to buy a bicycle that costs $129. This is $24 more than 3 times what she saved last month. How much did she save last month?
Let s equal how much she saved last month
= s
105 = 3s
35 = s
Katie saved $35 last month.

10. Dan and his 3 friends share profits from a garage sale
Dan and his 3 friends share profits from a garage sale. After the garage sale, Dan’s mom gave him $15. Dan now has $75. Write an equation for the problem to help determine the profits from garage sale and solve.
𝑥 = 75

11. Page 336 #3ab,4ab, 5, 6, 7ab, 8cd, 10