Clearing Fractions in Equations
Learning Objective
I can solve linear equations with fractional coefficients by eliminating the denominators.
Key Concepts
To solve the equation y/5 + y/2 = 3/4, the first step is to find a common denominator to combine the y terms on the left side of the equation.
Clearing fractions from the equation y/5 + y/2 = 3/4 involves multiplying both sides of the equation by the least common denominator, which in this case is 20.
After simplifying and isolating y, the solution to the equation y/5 + y/2 = 3/4 is y = 15/14.
Practice Questions
This lesson includes 3 practice questions to reinforce learning.
View questions preview
1. What is the least common denominator (LCD) of the fractions in the equation: y/3 + y/4 = 5/6?
2. Solve the following equation by first clearing the fractions: x/2 + x/3 = 5
3. Which of the following steps is correct to eliminate the fractions in the equation: m/2 + m/5 = 7/10?
Educational Video
Solve Linear Equation with Fractions Two Ways y/5+y/2=3/4
Mathispower4u