Question

write 0.260 as a fraction in simplest form. select one: a. \\(\frac{11}{50}\\) b. \\(\frac{7}{25}\\) c. \\(\frac{13}{50}\\) d. \\(\frac{6}{25}\\)

Explanation:

Step1: Convert decimal to fraction

0.260 can be written as $\frac{0.260}{1}$. Multiply numerator and denominator by 1000 to eliminate decimals: $\frac{0.260\times1000}{1\times1000}=\frac{260}{1000}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 260 and 1000. The GCD of 260 and 1000 is 20. Divide numerator and denominator by 20: $\frac{260\div20}{1000\div20}=\frac{13}{50}$? Wait, no, wait. Wait 260 divided by 20 is 13? 20*13=260, yes. 1000 divided by 20 is 50. Wait but let's check the options. Wait the options are a. $\frac{11}{50}$, b. $\frac{7}{25}$, c. $\frac{13}{50}$, d. $\frac{6}{25}$. Wait 0.260 is 0.26. Let's re - calculate. 0.260 = 260/1000 = 26/100 = 13/50. So the correct option is c. Wait, wait the options: c is $\frac{13}{50}$? Wait the user's image: let's check the options again. The options are: a. $\frac{11}{50}$, b. $\frac{7}{25}$ (which is 0.28), c. $\frac{13}{50}$ (which is 0.26), d. $\frac{6}{25}$ (which is 0.24). So 0.260 is 0.26, which is 26/100 = 13/50. So the correct option is c.

Step3: Match with options

Among the given options, option c is $\frac{13}{50}$, which is equal to 0.26.

Answer:

c. $\frac{13}{50}$