Answered: "Solve equations with fractions coefficients In the following..."

Idilwsiw2

Answered question

2021-11-14

Solve equations with fractions coefficients In the following exercises, solve the equation by clearing the fractions.

\frac{5}{8} b + \frac{1}{2} = - \frac{3}{4}

Answer & Explanation

Ourst1977

Beginner2021-11-15Added 21 answers

Given information:
The given equation is $\frac{5}{8} b + \frac{1}{2} = - \frac{3}{4}$
The equation $\frac{5}{8} b + \frac{1}{2} = - \frac{3}{4}$ can be solved as follows.
The least common multiple of 8, 2, and 4 is 8. So, multiply each term by 8.
$\Rightarrow 8 \times \frac{5}{8} b + 8 \times \frac{1}{2} = - 8 \times \frac{3}{4}$
Cancel the common factors.
$\Rightarrow 5 b + 4 = - 6$
Subtract both sides by 4.
$\Rightarrow 5 b + 4 - 4 = - 6 - 4$
$\Rightarrow 5 b = - 10$
Divide both sides by 5.
$\Rightarrow \frac{5 b}{5} = \frac{- 10}{5}$
$\Rightarrow b = - 2$
Therefore, $b = - 2$ is the solution of $\frac{5}{8} b + \frac{1}{2} = - \frac{3}{4}$ .

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