6.97 as a Fraction
The decimal number 6.97 can be converted to a fraction. But how do we do it?
The Basics of Conversion
To convert a decimal number to a fraction, we need to understand the concept of place value. In the decimal system, each digit has a place value that is 10 times the place value of the digit to its right. For example, in the number 6.97, the 6 is in the ones place, the 9 is in the tenths place, and the 7 is in the hundredths place.
Converting 6.97 to a Fraction
To convert 6.97 to a fraction, we can start by converting the decimal part (0.97) to a fraction.
0.97 = 97/100
Since 97 is not a multiple of 2 or 5, we cannot simplify this fraction further. However, we can reduce the fraction to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Simplifying the Fraction
The GCD of 97 and 100 is 1, so we cannot simplify the fraction further.
Now, we can convert the whole number part (6) to a fraction.
6 = 6/1
Final Answer
Combining the whole number part and the decimal part, we get:
6.97 = (6/1) + (97/100)
= 697/100
Therefore, the decimal number 6.97 is equal to the fraction 697/100.
