Question

Divide: $25.395$ by $1.5$

Answer 1

Hint: In this problem, to find the required value first we will convert the given decimals into fraction. Then, we will simplify the obtained expression.

Complete step-by-step answer:
In this problem we have two decimals $25.395$ and $1.5$. Let us convert these decimals into fractions. In the number $25.395$ we can see that there are three digits to the right of the decimal. So, this number could be converted into fraction by dividing $1000$. So, we can write $25.395 = \dfrac{{25395}}{{1000}}$. Now the second number is $1.5$. We can see that there is only one digit to the right of the decimal. So, this number could be converted into fraction by dividing $10$. So, we can write $1.5 = \dfrac{{15}}{{10}}$. Now we have to divide the number $25.395$ by the number $1.5$. So, we can write
$25.395 \div 1.5 = \dfrac{{25395}}{{1000}} \div \dfrac{{15}}{{10}}$
Let us rewrite the above expression. So, we get $25.395 \div 1.5 = \dfrac{{25395}}{{1000}} \times \dfrac{{10}}{{15}}$.
Let us simplify the above expression. So, we get
$25.395 \div 1.5 = \dfrac{{25395}}{{15}} \times \dfrac{{10}}{{1000}}$.
$ \Rightarrow 25.395 \div 1.5 = \dfrac{{1693}}{{100}}$
$ \Rightarrow 25.395 \div 1.5 = 16.93$
Hence, the required answer is$16.93$.

Note: In fractions, the number above the line is called numerator and the number below the line is called denominator. For example, if the fraction is $\dfrac{{15}}{{10}}$ then $15$ is numerator and $10$ is denominator. The line which separates the numerator and the denominator represents the division. To convert the fraction $\dfrac{{1693}}{{100}}$ into decimal, write the whole number $1693$ with the decimal point $2$ spaces from the right because $100$ has $2$ zeros. That is, $\dfrac{{1693}}{{100}} = 16.93$.