Question

How do you simplify $9.594 \div 0.06$?

Answer 1

Hint: Here first of all we will take the given expression and make the required unknown “x” as the subject moving all the terms on one side of the equations, remove decimal points and convert it in the form of simple fraction and then simplify the equation for the required resultant answer

Complete step by step solution:
Take the given expression: $9.594 \div 0.06$
Take the required value as “x” and frame the above expression as the fraction.
$ \Rightarrow x = \dfrac{{9.594}}{{0.06}}$
Now, place below numerator to remove the decimal point and also as there are three digits after it and place below denominator to remove the decimal point and also as there are two digits
$ \Rightarrow x = \dfrac{{\dfrac{{9594}}{{1000}}}}{{\dfrac{{006}}{{100}}}}$
Numerator’s denominator goes to the denominator and the denominator’s denominator goes to the numerator.
$ \Rightarrow x = \dfrac{{9594}}{{1000}} \times \dfrac{{100}}{6}$
Common factors from the numerator and the denominator cancels each other.
$ \Rightarrow x = \dfrac{{9594}}{{60}}$
Find the division of the above expression-
$ \Rightarrow x = 159.9$
This is the required solution.

Thus the required solution is x = 159.9

Note: Be good in multiples and always remember that common factor from the numerator and the denominator cancel each other. Also be careful while removing the decimal point. Always count the number of digits after the decimal point and then put zeros under it or ten for one digit, hundred for two digits and so on. Be good in finding the factors of the numbers and then remove common factors from the numerator and the denominator.