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# Convert the following decimal to fraction: 0.05

Last updated date: 10th Aug 2024
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Hint: Fractions are numerical values that are a part of the whole. A fractional number is represented by $\dfrac{a}{b},b \ne 0$.
So to convert decimal form to fraction form we have to just multiply and divide it with ${10^x}$ which is raised to some power ‘$x$ ’ according to the numbers after the decimal point. For example, if we have a number suppose $0.624$ and we have to convert it in fractional form then we divide this number with ${10^x}$ and here the value of ‘$x$’ is equal to $3$ .

Complete step-by-step solution:
Step 1: As we know that to change a given decimal number into a fractional number we have to multiply and divide it with ${10^x}$, where ‘$x$’ is equal to the numbers present after the decimal point.
Here, in $0.05$ we have two numbers after the decimal point
Therefore, we multiply and divide the given number by ${10^2}$ or $100$ and we get
$\dfrac{{0.05 \times 100}}{{100}}$
Step 2: Multiplying numerator with $100$, we get
$\dfrac{{0.05 \times 100}}{{100}} = \dfrac{5}{{100}}$
Step 3: Now our last step is to reduce the obtained fraction to its simplest form by dividing both numerator and denominator by 5, we get
$\dfrac{5}{{100}} = \dfrac{1}{{20}}$
So the above obtained fractional number cannot be further reduced.
Hence, the fractional form of $0.05$ is equal to $\dfrac{1}{{20}}$

Note: Fractions are numerical values that are a part of the whole.
Always try to reduce the solution into its simplest form for obtaining exact results.
If we have a bar over the number after the decimal then that means that particular number is repeating and for that we use a different method for solving.