High School

Express 6.25 as a fraction or mixed number in simplest form.

A. \(\frac{1}{4}\)

B. \(\frac{25}{4}\)

C. \(6 \frac{2}{5}\)

D. \(6 \frac{3}{4}\)

Answer :

To express $6.25$ as a fraction in simplest form, follow these steps:

1. Write $6.25$ as a fraction by eliminating the decimal. Since there are two digits after the decimal point, multiply by $100$:
$$6.25 = \frac{6.25\times 100}{100} = \frac{625}{100}.$$

2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of $625$ and $100$ is $25$.

3. Divide both the numerator and the denominator by $25$:
$$\frac{625}{100} = \frac{625\div25}{100\div25} = \frac{25}{4}.$$

Thus, the simplest form of $6.25$ is
$$\frac{25}{4}.$$