Question

divide -3/13 by -4/65​

Answer 1

Step-by-step explanation:

Now, in this question, we've to divide a fraction by another fraction.

So, simply, the equation can be given as,

$\frac{-3}{13}\div\frac{-4}{65}$

Now, to do the operation, we'll switch the numerator and denominator of $\frac{-4}{65}\\ \rm and\ make\ it\ \frac{-65}{4} and\ then,\ simply\ it\ can\ be\ multiplied.\\ \\ \rm Lets\ do\ it\\ \\ \frac{-3}{13}\div\frac{-4}{65}\\ \\ \implies \frac{-3}{13}\times \frac{-65}{4}\\ \\ \implies \frac{195}{52}\\ \\ \therefore \frac{-3}{13}\div \frac{-4}{65}=\frac{195}{52}$

Know more!

Always, when a number is to be divided by the other, we've to just interchange the numerator and denominator of the number which is going to divide the other.

So, Eg.

A whole number by a fraction

$3\div \frac{4}{5}\\ \\ \implies 3\times \frac{5}{4}\\ \\ \implies \frac{15}{4} \\ \\ \\ And$

A fraction by a whole number

$\frac{5}{7}\div 8\\ \\ \implies \frac{5}{7}\times \frac{1}{8}\\ \\ \implies \frac{5}{56}$

So, I think, the concept is clear.