Question

How do you write 0.36 as a fraction?

Answer 1

Hint: In this problem, we have to write the decimal form in fraction form. We can first write the given question in the fraction form. We can then multiply the fraction, both numerator and denominator by 100 or we know that 0.36 has 2 decimal places and therefore can be written as a fraction with denominator as a power or 10 with 2 zeros, we can then simplify the step to get the fraction form.

Complete step by step answer:
We know that the given decimal to be converted into fraction is 0.36.
Now we can write it in fraction form, we get
$$\Rightarrow {\displaystyle \frac{0.36}{1}}$$
Now we can multiply 100 on both numerator and denominator.
$$\Rightarrow {\displaystyle \frac{0.36}{1}}\times {\displaystyle \frac{100}{100}}$$
Now we can multiply the above step, we get
$$\Rightarrow {\displaystyle \frac{36}{100}}$$
Now we can simplify the above step.
We can cancel the numerator and the denominator, we get
We know that we can divide the both numerator and denominator by 4
Now we can divide 64 and 10000 by 4, we get
$$\Rightarrow {\displaystyle \frac{{\displaystyle \frac{36}{4}}}{{\displaystyle \frac{100}{4}}}}$$
Now we can divide the numerator and the denominator, we get
$$\Rightarrow {\displaystyle \frac{9}{25}}$$

Therefore, the fraction form of 0.36 is $${\displaystyle \frac{9}{25}}$$.

Note: Students make mistakes while finding the LCM for the given numbers and cancelling it. Students make mistakes while moving the decimal points to the left or write, which should be concentrated. We should know which number should be multiplied to the given decimal as we have a decimal place in one point. We can multiply the given number to ten, if we have decimal in two points, then we can multiply 100 for the given number.