Question

What is $\dfrac{3}{4}$ divided by $2$ ?

Answer 1

Hint: These problems require the knowledge of the operations of functions. We will be solving the problem based on the act that the division $\dfrac{a}{b}\div \dfrac{c}{d}$ can be rewritten as $\dfrac{a}{b}\times \dfrac{d}{c}$ which can be further written as $\dfrac{a\times d}{b\times c}$ . This way, $\dfrac{3}{4}$ divided by $2$ will be $\dfrac{3}{4\times 2}=\dfrac{3}{8}$.

Complete step-by-step solution:
Numbers can be very crudely classified into two types; one is the whole numbers (and integers) and the other is fractional numbers. Whole numbers are those which start from zero and proceed by adding $1$ to the previous number, for example $2,18$ . Fractional numbers are considered to be those that lie between two whole numbers, for example $2.18,18.9,\dfrac{1}{2}$ . There are two mostly used ways to represent a whole number. One of the ways is fraction and the other way is decimal. Fractions are a representation where one number lies above another separated by an arrow. An example of fraction will be $\dfrac{1}{2}$ . Decimals are a representation where two numbers lie side-by-side and are separated by a dot. An example of decimal will be $2.18$ .
The division operation of fractions is quite interesting. The phrase “the fraction $\dfrac{a}{b}$ divided by $\dfrac{c}{d}$ “ means $\dfrac{a}{b}\div \dfrac{c}{d}$ . This can be rewritten as $\dfrac{a}{b}\times \dfrac{d}{c}$ . This can further be simplified as $\dfrac{a\times d}{b\times c}$ .
The given operation that we have in this problem is $\dfrac{3}{4}$ divided by $2$ . We can rewrite it as $\dfrac{3}{4}\div \dfrac{2}{1}$ . In a similar way as we have discussed above, we can rewrite it as $\dfrac{3}{4}\times \dfrac{1}{2}$ . Simplifying it, we get $\dfrac{3}{4\times 2}=\dfrac{3}{8}$ .
Therefore, we can conclude that $\dfrac{3}{4}$ divided by $2$ gives $\dfrac{3}{8}$.

Note: Division of fractions is not complicated but it is quite prone to mistakes. We need to invert the fractions carefully while dividing. This problem can also be solved in another way. If we are given that a fraction is divided by a whole number, we can directly multiply the denominator with the whole number.