Grade 10

Equations with fractions

Lesson

Here we are looking at solving equations with fractions. This may look tricky, but we can follow the exact same steps that we did when solving equations with whole numbers.

Once again we will follow the reversed order of operations and make the variable the subject of the equation.

Examples

Question 1

Solve the following equation:

$\frac{n}{6}+\frac{n}{5}=11$n6+n5=11

Question 2

Solve the following equation: $\frac{9x}{3}+\frac{9x}{2}=-5$9x3+9x2=−5

Question 3

Solve the following equation: $\frac{5x}{3}-3=\frac{3x}{8}$5x3−3=3x8

Question 4

Solve the following equation: $\frac{8x-2}{3}=\frac{6x-3}{4}$8x−23=6x−34

Outcomes

10P.LR1.01

Solve first-degree equations involving one variable, including equations with fractional coefficients