Question

How do you convert 1.7 into a fraction?

Answer 1

Hint: We have to solve this problem with the help of fraction and decimal. Here, the decimal point is after a digit which means we can think of it as out of 10 and then solve the decimal part. Or you can simply say divide by 10 because you will place zeroes in the form of 10 or 100 so on according to the number of digits present after the decimal.

Complete step by step solution:
The given problem statement is to convert 1.7 into a fraction.
Every time when there is one number after the decimal, we can think of it as out of 10. So, here in 1.7, the 7 after the decimal place would be ${\displaystyle \frac{17}{10}}$ .
So now this is in the form of the proper fraction so, when we convert 1.7 into a form of fraction it would be ${\displaystyle \frac{17}{10}}$.

Additional Information:
For the given problem we found a proper fraction solution. To distinguish from another fraction, we can simply note that in which the denominator is larger than the numerator, then it is a proper fraction. We also need to check if the proper fraction is in the form of the lowest term or not. Other types of fractions are improper, mixed, like, unlike and equivalent fractions.

Note:
The number of digits after the decimal point is equal to the number of zeroes. Suppose 4.885 is a decimal given, it’s fraction form would be written as $${\displaystyle \frac{4885}{1000}}$$ . As you can see there were 3 digits after the decimal point that is 885 so we put 3 zeroes in the denominator. The same rule will be applicable for all of the decimal numbers.