Question

What is \[\dfrac{14}{33}\] as a decimal?

Answer 1

Hint: From the given question we are asked to find the decimal form of the given fractional form. First we will check whether the given fraction can be reduced to any simpler fraction or not by using basic mathematical division operations. If it can be further reduced into a simpler fraction then we will reduce and convert into decimal if it cannot be reduced then we will reduce or convert it into decimal directly and then we will round it off to the nearest number. So, our solution will be as follows.

Complete step by step solution:
Given fraction is as follows.
\[\Rightarrow \dfrac{14}{33}\]
The two numbers in the numerator and denominator do not have any common factors. So, we cannot reduce the fraction into any simpler fraction.
So, we will convert into the decimal number.
So, we get the decimal number as follows.
\[\Rightarrow 0.42424242\]
We can round it off to the nearest number.
So, after rounding it off to the nearest number we get it as follows.
\[\Rightarrow 0.42\]

Note: Students should have good concepts in rounding off numbers. as we have the number as \[\Rightarrow 0.42424242\] where after the point the digits are less than five so we will leave the digits without changing after the rounding off process. if the number after point is greater than five then we will increase the digit to its preceding number.