Lesson 7.2 Part 1 – Solving Equations
with Fraction Coefficients
Equations with fraction coefficients
Least common multiple: the smallest multiple that several numbers share.
Example: Find the LCM of 2, 3, and 5.
Multiples of 2:
Least common multiple
Multiples of 3:
(lcm)
Multiples of 5:
The LCM of 2, 3, and 5 is ________.
1 Find the LCM of the __________________ of each fraction in the
Solving equations
with fraction
coefficients
equation.
2 Multiply the entire equation by the _______ and reduce each fraction to
create coefficients without fractions.
3 Solve the equation for the variable.
Directions: Multiply each equation by the LCM, then solve.
1.
𝑛+ = 𝑛+2
2.
𝑘−6= 𝑘+4
3.
𝑦+1=− 𝑦+
4.
𝑥 + 10 = 𝑥
5. 6 + 𝑏 =
6.
𝑏
𝑚 + 16 = 4 +
𝑚