Question

express the ratio 3 2/3 7 1/3 in its simplest form

Answer 1

The ratio is $\frac{3\frac{2}{3} }{7\frac{1}{3} }$

The fraction $3\frac{2}{3}$ in improper fraction form is $\frac{11}{3}$

Similarly, $7\frac{1}{3}$ in improper fraction form is $\frac{22}{3}$

Therefore, the ratio is $\frac{\frac{11}{3} }{\frac{22}{3} }$

$\frac{11}{3} times \frac{3}{22}$ = $\frac{1}{2}$

Therefore, the ratio in the simplest form is $\frac{1}{2}$

Answer 2

The simplest form of the ratio is 1/2.

What is improper fraction?

A fraction in which the numerator is equal to or greater than the denominator is called an improper fraction.

Given

Express the ratio 3 2/3 7 1/3 in its simplest form.

Ratio can be expressed in the form of improper fraction.

The given ratio is;

$\rm Ratio= \dfrac{3\dfrac{2}{3}}{7\dfrac{1}{3}}\\\\Ratio=\dfrac{\dfrac{3\times 3+2}{3}}{\dfrac{7\times 3+1}{3}}\\\\Ratio=\dfrac{\dfrac{9+2}{3}}{\dfrac{21+1}{3}}\\\\Ratio =\dfrac{\dfrac{11}{3}}{\dfrac{22}{3}}\\\\Ratio=\dfrac{11}{3} \times \dfrac{3}{22}\\\\Ratio =\dfrac{11}{22}\\\\Ratio= \dfrac{1}{2}$

Hence, the simplest form of the ratio is 1/2.

To know more about improper fraction click the link given below.

https://brainly.com/question/21449807