Question

Express $0.85$ as a fraction?

Answer 1

Hint: Here we have to express the given decimal number into a fraction. We will use the decimal to fraction method where we remove the decimal from the number and divide the number by $10$ to the power equal to the number of digits after the decimal. Then we will simplify the fraction further by dividing the numerator and denominator by the same number till we get a set of co prime numbers and get our desired answer.

Complete step-by-step solution:
We have to express the below decimal number into fraction:
$0.85$
For converting the decimal number to a fraction we will remove the decimal sign and divide the above number by ${{10}^{2}}$ as follows:
$= \dfrac{85}{100}$
Now we will simplify it further by dividing the denominator and numerator by $5$ as both the numerator and denominator is completely divided by $5$as follows:
$= \dfrac{\dfrac{85}{5}}{\dfrac{100}{5}}$
$= \dfrac{17}{20}$
Now as $17$ and $20$ are co-prime numbers the above fraction can’t be simplified further.
Hence $0.85$ is expressed as $\dfrac{17}{20}$ in fraction.

Note: The numbers can be classified into many types namely natural numbers, whole numbers, decimal numbers and so on. Decimal numbers are those numbers which have an integer part and a fractional part which are separated by a dot or decimal point. For converting the decimal number into fraction we remove the dot point and divide the number by the $10$ power number of digits after the decimal. All the arithmetic operations are performed on a decimal number. For checking whether we get the correct answer simply divide $17$ by $20$ using a calculator and we can see that we get the answer as $0.85$ .