Question

Help please!!! If 3/7 m= 7/3 n, then what is the value of m/n ?

Answer 1

Answer:

3m / 7 = 7n / 3

49n = 9m

9m / 49n = 1

m / n = 49 / 9

Step-by-step explanation:

Answer 2

The value of $\dfrac{m}{n}$ is $\boxed{\frac{m}{n} = \frac{{49}}{9}}.$

Further explanation:

Given:

The equation is $\dfrac{3}{7}m = \dfrac{7}{3}n.$

Explanation:

We have to find the value of $\dfrac{m}{n}.$

The left hand side of the equation is $\dfrac{3}{7}m.$

The right hand side of the equation is $\dfrac{7}{3}n.$

Consider the left hand side and the right hand side of the equation as A.

The value of m can be obtained as follows,

$\begin{aligned}\frac{3}{7}m&= A\hfill\\m&= \frac{7}{3}A\hfill\\\end{aligned}$

The value of $n$ can be obtained as follows,

$\begin{aligned}\frac{7}{3}n&= A\hfill\\n&= \frac{3}{7}A \hfill\\\end{aligned}$

The value $\dfrac{m}{n}$ can be calculated as follows,

$\begin{aligned}\dfrac{m}{n}&=\dfrac{{\dfrac{7}{3}A}}{{\dfrac{3}{7}A}}\\&= \dfrac{{\dfrac{7}{3}}}{{\dfrac{3}{7}}}\\&= \dfrac{{7 \times 7}}{{3 \times 3}}\\&= \dfrac{{49}}{9}\\\end{aligned}$

The value of $\dfrac{m}{n}\: {\text{is}\: \boxed{\frac{m}{n} = \dfrac{{49}}{9}}.$

Learn more

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2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Fractions

Keywords: fraction, simplify, m/n,$3/7m=7/3n$ add, subtraction, denominators, numerators,value.