The Quick Answer is = 1/4 and Here is the detailed solution of 0.25 as a fraction:-
First of all you need to Understanding the Basics of Fraction Calculation
A fraction is a way of representing a part of a whole. It consists of two numbers separated by a line, where the number above the line is called the numerator, and the number below the line is called the denominator. In this case, we want to represent the decimal number 0.25 as a fraction.
Now Converting 0.25 to a Fraction
To convert 0.25 into a fraction, we can follow the steps:
1. Recognize the Decimal Place Value
(In the decimal number 0.25, the digit 2 is in the tenths place, and the digit 5 is in the hundredths place.)
2. Write the Decimal as a Fraction
(Since 2 is in the tenths place and 5 is in the hundredths place, we can express 0.25 as follows:)
0.25 = 2/10 + 5/100
3. Simplify the Fraction
(To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both of them by the GCD.)
4. Finding the Greatest Common Divisor (GCD)
(The GCD of 2 and 10 is 2. The GCD of 5 and 100 is also 5.)
5. Simplifying the Fraction
(Now, we can simplify the fraction by dividing both the numerator and denominator by their respective GCDs:)
2/10 + 5/100 = (2 ÷ 2) / (10 ÷ 2) + (5 ÷ 5) / (100 ÷ 5)
= 1/5 + 1/20
6. Finding a Common Denominator
(To add the fractions together, we need a common denominator. In this case, the common denominator is 20.)
7. Adding the Fractions
(Now, we can add the two fractions with the common denominator:)
1/5 + 1/20 = (1 * 4) / (5 * 4) + 1/20
= 4/20 + 1/20
= 5/20
8. Final Simplification
(Finally, we can simplify the fraction 5/20 by dividing both the numerator and denominator by their greatest common divisor, which is 5:)
5/20 = (5 ÷ 5) / (20 ÷ 5)
= 1/4
So, the decimal 0.25 as a fraction can be expressed as the 1/4.
Here is the Alternative Approach of to calculate 0.25 as a fraction:
Another approach to converting 0.25 as a fraction is to directly consider the decimal places. Since there are two decimal places (0.25), the denominator will be 10^2 (100) to account for the hundredths place. The numerator will be the number without the decimal point, which is 25. Thus, the fraction is 25/100.
Now, we can simplify this fraction by finding the greatest common divisor (GCD) of 25 and 100, which is 25. Dividing both the numerator and denominator by 25 yields:
25/100 = (25 ÷ 25) / (100 ÷ 25) = 1/4
So, the decimal 0.25 is equivalent to the fraction 1/4.
Both approaches lead to the same result: 0.25 as a fraction is 1/4.