Question

How to find the quotient of $\dfrac{3}{8}$ and $2$?

Answer 1

Hint: Given two numbers. We have to find the quotient of the numbers. First, we will rewrite the integer value in fraction form by inserting one at the denominator. Then, we will find the quotient by dividing one number by another number. To divide the fraction numbers, replace the division sign with multiplication, and reverse the fraction of the second number. Then simplify the expression by canceling out the common terms.

Complete step-by-step answer:
We are given the two terms $\dfrac{3}{8}$ and $2$. First, we will write $2$ in fraction form.
$ \Rightarrow \dfrac{2}{1}$
Now, we will divide $\dfrac{3}{8}$ by $\dfrac{2}{1}$.
$ \Rightarrow \dfrac{3}{8} \div \dfrac{2}{1}$
Now, make the denominator of both the same by multiplying the numerator and denominator of the fraction $\dfrac{2}{1}$ by $8$.
$ \Rightarrow \dfrac{3}{8} \div \dfrac{2}{1} \times \dfrac{8}{8}$
On simplifying the expression, we get:
$ \Rightarrow \dfrac{3}{8} \div \dfrac{{16}}{8}$
Now, to divide the fractions, replace the division sign with multiplication and reverse the fraction of the second number.
$ \Rightarrow \dfrac{3}{8} \times \dfrac{8}{{16}}$
Now, cancel out the common terms, we get:
$ \Rightarrow \dfrac{3}{{{8}}} \times \dfrac{{{8}}}{{16}}$
$ \Rightarrow \dfrac{3}{{16}}$

Thus, the quotient of $\dfrac{3}{8}$ and $2$ is $\dfrac{3}{{16}}$

Additional information: The quotient is a number that is obtained after dividing one number by another number. The number which is divided or written on the numerator is known as a dividend. The number written at the denominator of the fraction is known as a divisor.

Note:
In such types of questions students mainly don't get an approach on how to solve it. In such types of questions, students are mainly confused about which operation is applied to divide the fraction. Students may forget to convert the denominator of one fraction the same as the denominator of another fraction.