What is 0.26 as a fraction?
Understand the Problem
The question is asking how to convert the decimal 0.26 into a fraction. This involves identifying the place value of the decimal and expressing it as a fraction in simplest form.
Answer
The decimal 0.26 as a fraction is $\frac{13}{50}$.
Answer for screen readers
The final answer is $\frac{13}{50}$.
Steps to Solve
- Identify the decimal's place value
The decimal 0.26 has two digits after the decimal point. The first digit (2) is in the tenths place, and the second digit (6) is in the hundredths place. This means we can express 0.26 as:
$$ 0.26 = \frac{26}{100} $$
- Simplify the fraction
To simplify the fraction $\frac{26}{100}$, we need to find the greatest common divisor (GCD) of the numerator (26) and the denominator (100).
The prime factorization of 26 is $2 \times 13$, and for 100 it is $2^2 \times 5^2$. The GCD is 2.
Now we can divide both the numerator and the denominator by 2:
$$ \frac{26 \div 2}{100 \div 2} = \frac{13}{50} $$
- Final Result
Thus, the simplified fraction form of 0.26 is:
$$ 0.26 = \frac{13}{50} $$
The final answer is $\frac{13}{50}$.
More Information
The fraction $\frac{13}{50}$ represents the decimal 0.26 in its simplest form. It's an example of how decimals can easily be converted into fractions by identifying their place value and simplifying.
Tips
- A common mistake is to forget to simplify the fraction after converting. Always check for common factors.
- Another mistake is misidentifying the place value, leading to incorrect fractions.
