What is 0.26 written as a fraction in simplest form?
26/100
13/50
26/10
13/25
Simplify 26/100.
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To write 0.26 as a fraction in simplest form, we first note that the decimal has two decimal places. This means that it can be written as the numerator over 100 if we move the decimal places in the original number. Thus, 0.26 can be written as 26/100. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.
After dividing both the numerator and denominator by 2, we get 13/50. Therefore, the fraction 0.26 written in simplest form is 13/50.
Therefore, the answer is: 13/50.
To write 0.26 as a fraction in simplest form, you can follow these steps:
Step 1: Write down the decimal number as the numerator. In this case, the decimal number is 0.26.
Step 2: Determine the denominator by counting the number of decimal places. Since there are two decimal places, the denominator will be 100 (10 raised to the power of 2).
Step 3: Express the decimal number as a fraction by placing the numerator over the denominator. So, 0.26 can be written as 26/100.
Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, both 26 and 100 can be divided by 2, resulting in 13/50.
Step 5: Therefore, the simplest form of 0.26 as a fraction is 13/50.
So, the correct answer is 13/50.