Question

Write down the fraction in which numerator $ = 8, $ denominator $ = 15 $ .

Answer 1

Hint: As we know that a fraction is a mathematical expression that consists of a numerator and a denominator, here the denominator refers to the total number of parts in a whole. While on the other hand, the numerator refers to the number of parts in question from the whole. Fraction can also be used to represent ratios and divisions as well. It is shown in the form of $ \dfrac{a}{b} $ , where $ a $ is the numerator of the fraction and $ b $ represents the denominator of the fraction. fraction is derived from the Latin word “fractus”.

Complete step-by-step answer:
As per the given question, we have a numerator $ = 8 $ and the denominator $ = 15 $ . Now we will put the values in the form of $ \dfrac{a}{b} $ , where $ a = 8 $ and $ b = 15 $ . So by substituting the values we get,
 $ \dfrac{a}{b} = \dfrac{8}{{15}} $ .
Hence the required fraction is $ \dfrac{8}{{15}} $ .
We should also note that it is the simplest form of fraction with the given numerator and the denominator as there is no multiple common between numerator and the denominator, so it cannot be simplified further. But it can be written in decimal and the decimal form of the fraction $ \dfrac{8}{{15}} $ is $ 0.533(approx) $
So, the correct answer is “ $ \dfrac{8}{{15}} $ ”.

Note: We should also know that a fraction that has $ 1 $ in the denominator is called a Unit fraction, since they represent the whole number itself, without any further divisions. Also a fraction cannot have $ 0 $ as its denominator as then the value of such fraction would be only undefined or infinity i.e. $ \infty $ .