Question

How to solve \[ - \dfrac{{103}}{5}\] in decimal form?

Answer 1

Hint: Fractions are the part of the whole. Generally, it represents any number of equal parts and it describes the part from a certain size. Here we will convert the fraction into decimal by simplifying the fraction to get the equivalent fraction in terms of hundreds and then place decimal.

Complete step by step solution:
Take the given expression: \[ - \dfrac{{103}}{5}\]
Find the equivalent fraction of the above given fraction in terms of hundreds. So, to get denominator as hundred multiply the fraction with the number
\[ - \dfrac{{103}}{5} = - \dfrac{{103}}{5} \times \dfrac{{20}}{{20}}\]
Simplify the above fraction –
\[ - \dfrac{{103}}{5} = - \dfrac{{2060}}{{100}}\]
Now, to convert the given fraction in decimal form count the number of zeros in the denominator and shift the same count of digits from right hand sides to the left hand side.
\[ - \dfrac{{103}}{5} = - 20.60\]
This is the required solution.

Note: Always convert the fraction’s denominator in tens, hundreds, thousands for easy conversion in the form of the decimal term. To convert decimal in to fraction, place the decimal number over its place value. For example, for $0.6$ the six is in the tenths place so that we place $6$ over $10$ to create the equivalent fraction i.e. $\dfrac{6}{{10}}$ and similarly if there is two digits after decimal point, for $0.06$ the six is in the hundredths place so that we place $6$ over $100$ to create the equivalent fraction i.e. $\dfrac{6}{{100}}$. Be good in multiples and division and since it is most important to find the factors and to remove common factors in the fraction to get the equivalent simplified fraction.