Question

Convert the following decimal to fraction: 0.05

Answer 1

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.