What is 0.365 as a fraction?
Answer
542.1k+ views
Hint: In the given question we can clearly see that the task asked to do is simple as we just need to do the transformation from the decimal number to the fractional number. The decimal number contains decimal before three digits or we can say we have three digits after decimal point.
Complete step-by-step answer:
In the given question we are given a decimal number which we are to write in the fraction form, that means we need to remove the decimal point by writing the decimal point in the powers raised to 10 and then we will write that in the fraction form.
Now, after observing we can see that we have three digits after decimal places and after multiplying by 10 and dividing by 10 will shift the decimal place to one place towards the right side.
Also, doing this thrice we will be able to remove the decimal places completely and would get 1000 in the denominator. Therefore, we can write 0.365 in the fraction form as $\dfrac{365}{1000}$ .
Further simplification will lead to $\dfrac{73}{200}$
Hence, the required answer of the given question is $\dfrac{73}{200}$.
Note: Remember that after shifting one decimal place we need to remember 10 in the denominator and also, we must be aware that we can write the powers of 10 in the denominator for fraction form or else we can write it in the 10 raised to negative powers.
Complete step-by-step answer:
In the given question we are given a decimal number which we are to write in the fraction form, that means we need to remove the decimal point by writing the decimal point in the powers raised to 10 and then we will write that in the fraction form.
Now, after observing we can see that we have three digits after decimal places and after multiplying by 10 and dividing by 10 will shift the decimal place to one place towards the right side.
Also, doing this thrice we will be able to remove the decimal places completely and would get 1000 in the denominator. Therefore, we can write 0.365 in the fraction form as $\dfrac{365}{1000}$ .
Further simplification will lead to $\dfrac{73}{200}$
Hence, the required answer of the given question is $\dfrac{73}{200}$.
Note: Remember that after shifting one decimal place we need to remember 10 in the denominator and also, we must be aware that we can write the powers of 10 in the denominator for fraction form or else we can write it in the 10 raised to negative powers.
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