Question

How do you convert 0.97 as a fraction?

Answer 1

Hint: Let the decimal number is $ab.cd$ where a, b, c and d are digits. To convert the number into fraction Just write the number without decimal sign then divide it by 10 to the power number of digits after decimal point. In the decimal number $ab.cd$ the number of digits after decimal point is 2 so fraction form of $ab.cd$ is $\dfrac{abcd}{100}$

Complete step by step answer:
The given decimal is 0.97
The method to convert decimal to fraction is
Write the number without decimal sign divided by 10 to the power number of digits after decimal point
If we write 0.97 without decimal number it will be 97
Number of digits after the decimal sign is 2
So fraction format of 0.97 is $\dfrac{97}{{{10}^{2}}}=\dfrac{97}{100}$
In this way we can convert decimal to fraction

Note:
There is a conceptual method to convert decimal number to fraction. The number which is just right to the decimal sign is in $\dfrac{1}{10}$ place, the next is in $\dfrac{1}{100}$ place and so on. That means if decimal number is given $ab.cd$ where a, b, c, and d are digits then $ab.cd=ab+\dfrac{c}{10}+\dfrac{d}{100}$
If we convert 0.97 to fraction in this method
So we can write 0.97 as $0+\dfrac{9}{10}+\dfrac{7}{100}$
Now we can add the 3 numbers
The LCM of denominator is 100 so we can write $\dfrac{9}{10}$ as $\dfrac{90}{100}$
So $0+\dfrac{9}{10}+\dfrac{7}{100}$ is equal to $\dfrac{90}{100}+\dfrac{7}{100}=\dfrac{97}{100}$
This method might be a little long but this is the conceptual method.