Resolved: "To calculate: The solution of the provided proportion..."

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Yasmin

Answered question

2021-08-15

To calculate: The solution of the provided proportion

\frac{m + 2}{8} = \frac{m}{3}

Answer & Explanation

Margot Mill

Skilled2021-08-16Added 106 answers

Given information: $\frac{m + 2}{8} = \frac{m}{3}$
Formula used:
An equation that equates two rates of ratios is called proportions.
$\frac{a}{b} = \frac{c}{d}$
where $(b \neq 0, d \neq 0)$ .
To solve the proportions, multiply both sides of the equation by LCD.
Calculation:
Consider the provided proportion:
$\frac{m + 2}{8} = \frac{m}{3}$
To solve the proportions, multiply both sides of the equation by LCD.
LCD of the provided proportion is 24.
Hence, multiply both sides of the equation by 24.
$(24) (\frac{m + 2}{8}) = (\frac{m}{3}) (24)$
Further siimplify
$3 (m + 2) = (m) (8)$
$3 m + 6 = 8 m$
Substract 3m from both sides of the equation
$3 m + 6 - 3 m = 8 m - 3 m$
$6 = 5 m$
Now divide both sidess of the equation by 5
$6 = 5 m$
$\frac{6}{5} = \frac{5 m}{5}$
$m = \frac{6}{5}$
Hence, the simplified form of the provided proportion is $m = \frac{6}{5}$

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Pre-Algebra

Didn't find what you were looking for?