1. 1.7 – Equations with Decimals & Fractions
Objective:
The student will understand helpful ways to manipulate decimals and fractions in order to better solve equations with decimals and fractions.

2. Decimals Line up decimals when + and -
1) ) 7.01 – 5.8 3)
Multiply numbers like normal, insert decimal after
4) (.9)(7) 5) (1.02)(3) 6) (.1234)(100)

3. Multiply by 10 to eliminate decimals from equation
7) 5.4𝑥+8.4=6.2𝑥 OR 𝑥+8.4=6.2𝑥
8) 2 − .02𝑥=3.4

4. Fractions MUST have common denominator when + and -
1) ) 1 4 −
Multiply horizontally; Keep-Flip-Change when dividing
3) ∗ ) ( 5 3 )(− 6 7 ) ) ÷ ) ÷ 1 7 ÷ 4 3

5. Multiply by common denominator to eliminate fractions
8) 3(2𝑥−4) 5 =2−𝑥
9) − 𝑥 =−6−4𝑥

6. *10) 𝑥 =−5

7. Name Date Period 1.7 HW – worksheet