New Zealand
Level 6 - NCEA Level 1

# Equations involving 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 pronumeral 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}$5x33=3x8

##### Question 4

Solve the following equation: $\frac{8x-2}{3}=\frac{6x-3}{4}$8x23=6x34

### Outcomes

#### NA6-5

Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

#### 91027

Apply algebraic procedures in solving problems