Question

What is the quotient? 5/4c^2÷15/7c assume c is not equal to 0​

Answer 1

Answer:

The quotient is $\frac{7}{12c}$

Step-by-step explanation:

Given expression is:  $\frac{5}{4c^2}\div \frac{15}{7c}$

While dividing two fractions, first we need to change the division sign into multiplication and then flip the second fraction.

So, we will get.....

$\frac{5}{4c^2}\div \frac{15}{7c}\\ \\ =\frac{5}{4c^2}\times \frac{7c}{15}\\ \\ =\frac{35c}{60c^2}\\ \\ = \frac{7}{12c} \ \ [Dividing\ both\ numerator\ and\ denominator\ by\ 5c]$

So, the quotient is $\frac{7}{12c}$