Question

What is $ 0.12 $ divided by $ 0.15 $ ?

Answer 1

Hint: In order to solve the given values first we need to convert the decimal values in fraction then simplifying them to their simplest form. To divide the value, we can use long division or simply converting the simplest form into decimal again as we know that the decimal obtained after simplifying the value is the same as the quotient obtained by dividing them.

Complete step-by-step answer:
We are given with two numbers $ 0.12 $ and $ 0.15 $ .
Since they are in decimal we need to convert them into fractions or integers.
For $ 0.12 $ , we can see that the decimal point is after 2nd digit counting from right to left, so replacing the decimal by placing a denominator of multiple of $ 10 $ power of $ 2 $ and we get:
 $ 0.12 = \dfrac{{12}}{{{{10}^2}}} = \dfrac{{12}}{{100}} $
Similarly, for another number that is $ 0.15 $ , we can write it as:
 $ 0.15 = \dfrac{{15}}{{{{10}^2}}} = \dfrac{{15}}{{100}} $
Dividing $ 0.12 $ by $ 0.15 $ , we get:
 $ \dfrac{{0.12}}{{0.15}} = \dfrac{{\dfrac{{12}}{{100}}}}{{\dfrac{{15}}{{100}}}} $
Since, we know that the denominator in fraction can be written as the reciprocal in the numerator and is written as:
 $ \dfrac{{\dfrac{{12}}{{100}}}}{{\dfrac{{15}}{{100}}}} = \dfrac{{12}}{{100}} \times \dfrac{{100}}{{15}} $
Cancelling out the similar terms and we get:
 $ \dfrac{{12}}{{100}} \times \dfrac{{100}}{{15}} = \dfrac{{12}}{{15}} $
We can see that now also the value can be simplified. So, dividing both the numerator and denominator by $ 3 $ , as they are common multiple of it:
 $ \dfrac{{12}}{{15}} = \dfrac{{\dfrac{{12}}{3}}}{{\dfrac{{15}}{3}}} = \dfrac{4}{5} $
Multiplying both the numerator and denominator by $ 20 $ , to get a multiple of $ 10 $ , and we get:
 $ \dfrac{4}{5} = \dfrac{{4 \times 20}}{{5 \times 20}} = \dfrac{{80}}{{100}} = \dfrac{{80}}{{{{10}^2}}} $
Since, the power of $ 10 $ is $ 2 $ , so counting from right and placing the decimal after 2nd position and we get:
 $ \dfrac{{80}}{{{{10}^2}}} = 0.80 = 0.8 $
Therefore, the value of $ 0.12 $ divided by $ 0.15 $ is $ 0.8 $ .
So, the correct answer is “0.8”.

Note: Always cross check the value at once.
If instead of a decimal only integer was given then we could have directly changed into a decimal to get the quotient.
We could have used a long division method also instead of this method.