1. Section 5.7 & 5.8 Solving Equations with Fractions
Algebra Concepts
Section 5.7 & 5.8
Solving Equations with Fractions

2. Warm-up Solve the following equations for x. #1 𝑥−6=−2 #2 3𝑥=20
#1 𝑥−6=−2
#2 3𝑥=20
#3 𝑥− −4 =7
#4 𝑥 4 =12

3. Now –it’s time to solve equations with fractions.

5. Try solving these.
#1 𝑥− 1 3 = 1 5 #2 5=𝑛+ 1 2 # 𝑡= 5 6 *Recall dividing by a fraction is multiplying by the reciprocal #4 𝑞− − 2 3 =8

6. Reciprocals

7. Do NOT mix up reciprocals and opposites!
Reciprocals-flip
Opposites-change the sign
− 2 3

8. Try these. #1 1 3 𝑟= 3 4 *Recall dividing by a fraction is
multiplying by the reciprocal
# 𝑥= 6 5
# 𝑚= 9 11

9. Mixed numbers are not welcome in equations!
Improper fractions are welcome and encouraged!

10. Getting mixed numbers changed to improper fractions!

11. Mixed MAD Improper

12. Try these!
# #2 −1 1 3 # #4 −1 1 8

13. In equations, check for mixed numbers.
Change all mixed numbers!!!!!

14. Recall!
You do NOT need a common denominator to multiply fractions. Just multiply across!
Whole numbers can be written as a fraction. The denominator is 1.

15. Try these.
#1 𝑥 =4 1 2 # =𝑥− 4 5 # 𝑥= # 𝑥=12

16. Homework
#35 pg. 260 #11-21 odd, 37-39
pg. 264 #6-33 multiples of 3, 58-60