Question

How do you write 0.0064 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 10000 or we know that 0.0064 has 4 decimal places and therefore can be written as a fraction with denominator as a power or 10 with 4 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 a fraction is 0.0064.
Now we can write it in fraction form, we get
\[\Rightarrow \dfrac{0.0064}{1}\]
Now we can multiply 10000 on both numerator and denominator.
\[\Rightarrow \dfrac{0.0064}{1}\times \dfrac{10000}{10000}\]
Now we can multiply the above step, we get
\[\Rightarrow \dfrac{64}{10000}\]
Now we can simplify the above step.
We can take LCM for the numerator and the denominator, we get
We know that 16 is the Least Common factor for 64 and 10000.
Now we can divide 64 and 10000 by 16, we get
\[\Rightarrow \dfrac{\dfrac{64}{16}}{\dfrac{10000}{16}}\]
Now we can divide the numerator and the denominator, we get
\[\Rightarrow \dfrac{4}{625}\]

Therefore, the fraction form of 0.0064 is \[\dfrac{4}{625}\].

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 how to deal with decimal points to solve these types of problems.