Question

What is \[-\dfrac{3}{7}\] divided by \[-\dfrac{2}{3}\]?

Answer 1

Hint: In this problem, we have to divide the given fraction. We know that, to divide by a fraction, we have to reciprocal a fraction in the denominator by inverting and multiplying it to the first fraction. We can then cancel the similar terms or we can multiply the terms to get the final answer.

Complete step-by-step solution:
We know that the given fractions to be divided is,
 \[\Rightarrow \dfrac{-3}{7}\div \dfrac{-2}{3}\] ……… (1)
We know that, to divide by a fraction, we have to reciprocal a fraction in the denominator by inverting and multiplying it to the first fraction.
We get,
\[\Rightarrow -\dfrac{3}{7}\times -\dfrac{3}{2}\]
we can now simplify the above step by multiplying the terms in the numerator and the denominator, we get
\[\Rightarrow \dfrac{9}{14}\]
Therefore, the fractions, \[-\dfrac{3}{7}\] divided by \[-\dfrac{2}{3}\] is \[\dfrac{9}{14}\].

Note: Students make mistakes while finding the multiples of the given number to be cancelled to get a simplified form, we should always remember that to divide by a fraction, we have to reciprocal a fraction in the denominator by inverting and multiply it to the first fraction. We know that the reciprocal of a number is the inverse relationship of that number. Any number can have a reciprocal except zero. This is because when obtaining the reciprocal of zero, the answer would result as undefined. In other words the reciprocal of a number is the multiplicative inverse of itself.