0,26 as a proper fraction.
The correct answer and explanation is:
To express 0.26 as a proper fraction, follow these steps:
- Understand the decimal place: The number 0.26 means 26 hundredths because it has two digits after the decimal point. This can be written as: 0.26=261000.26 = \frac{26}{100}
- Simplify the fraction: Next, simplify the fraction 26100\frac{26}{100}. To simplify, we find the greatest common divisor (GCD) of 26 and 100. The factors of 26 are 1, 2, 13, and 26, and the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The GCD of 26 and 100 is 2.
- Divide both the numerator and denominator by 2: 26100=26÷2100÷2=1350\frac{26}{100} = \frac{26 \div 2}{100 \div 2} = \frac{13}{50}
Therefore, 0.26 as a proper fraction is 13/50.
Explanation:
Fractions are used to represent parts of a whole. A decimal like 0.26 can be rewritten as a fraction by recognizing the place value of the decimal. The number 0.26 means 26 hundredths, which translates directly into the fraction 26/100. However, fractions can often be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, dividing both 26 and 100 by 2 results in the fraction 13/50.
A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number). Since 13 is less than 50, 13/50 is a proper fraction. Simplifying fractions is an essential skill because it helps express the number in its simplest and most understandable form.
By following this process, 0.26 is correctly written as the proper fraction 13/50.