Question

What is $ \dfrac{{43}}{{100}} $ in simplest form?

Answer 1

Hint: In this question, we are supposed to find the simplest form of $ \dfrac{{43}}{{100}} $ . For finding the simplest form of a given number, factorize numerator and denominator and then cancel out the repeating numbers and write the remaining numbers. Multiply those remaining numbers in numerator and denominator respectively, and you will get the simplest form of the given number.

Complete step-by-step answer:
In this question, we are supposed to find the simplest form of $ \dfrac{{43}}{{100}} $ .
Simplest form means the form of a number when there are no common factors between numerator and denominator. For example let us take $ \dfrac{2}{4} $ . Here the factors of numerator 2 are: $ 2 \times 1 $ and the factors of denominator 4 are: $ 2 \times 2 $ . So, one 2 from both numerator and denominator gets cancelled. Hence, $ \dfrac{2}{4} $ can be written as $ \dfrac{1}{2} $ in simplest form.
In our question, we have $ \dfrac{{43}}{{100}} $ . So, let us see factors first.
Here, the factors of numerator 43 are: $ 43 \times 1 $ and the factors of denominator 100 are: $ 2 \times 2 \times 5 \times 5 $ .
Here, we can see that there are no common factors between numerator and denominator.
Hence, the given number $ \dfrac{{43}}{{100}} $ is already in its simplest form and cannot be simplified further.
So, the correct answer is “0.43”.

Note: Though the given number is already in its simplest form, we can write it in decimal form.
To write a fraction in decimal form, simply divide numerator by denominator.
Hence, $ \dfrac{{43}}{{100}} = 0.43 $ .