3.125 in fraction

Steps to Solve

1. Separate the Whole Number from the Decimal

   Start by breaking down the number into its whole number part and the decimal part:
   $$ 3.125 = 3 + 0.125 $$

2. Convert the Decimal Part to a Fraction

   To convert $0.125$ to a fraction, recognize that $0.125$ is equal to $\frac{125}{1000}$ because there are three decimal places. Simplify this fraction:
   $$ \frac{125}{1000} = \frac{1}{8} $$
   This reduction is achieved by dividing the numerator and denominator by their greatest common divisor (GCD), which is $125$.

3. Combine the Whole Number with the Fraction

   Now, combine the whole number with the fraction:
   $$ 3 + 0.125 = 3 + \frac{1}{8} $$

   To properly combine these, convert $3$ into a fraction with the same denominator:
   $$ 3 = \frac{24}{8} $$

4. Add the Fractions

   Now, add the two fractions:
   $$ \frac{24}{8} + \frac{1}{8} = \frac{25}{8} $$

5. Write the Final Fraction

   The final answer expresses $3.125$ as a fraction:
   $$ 3.125 = \frac{25}{8} $$