Expert answers to "Practice Makes Perfect Solve equations with fraction coefficients...."

n2z1emldk

Answered question

2021-11-16

Practice Makes Perfect Solve equations with fraction coefficients. In the following exercises, solve the equation by clearing the fractions.

\frac{1}{3} (x + 5) = \frac{5}{6}

Phisecome

Beginner2021-11-17Added 18 answers

Given information:
The equation

\frac{1}{3} (x + 5) = \frac{5}{6}

can be solved as follows.
The least common multiple of 3, and 6 is 6.
For clearing the fractions, we multiply both sides by 6.

\Rightarrow 6 \times \frac{1}{3} (x + 5) = 6 \times \frac{5}{6}

Cancel the common factors.

\Rightarrow 2 (x + 5) = 5

\Rightarrow 2 x + 10 = 3

Subtract both sides by 10.

\Rightarrow 2 x + 10 - 10 = 3 - 10

\Rightarrow 2 x = - 8

Divide both sides by 2.

\Rightarrow \frac{2 x}{2} = - \frac{8}{2}

\Rightarrow x = - 4

Therefore,

x = - 4

is solution of

\frac{1}{3} (x + 5) = \frac{5}{6}

Do you have a similar question?

Recalculate according to your conditions!