Questions: -5/8 + -1/25 =

Solution Steps

To add two fractions, we need to find a common denominator, convert each fraction to an equivalent fraction with that common denominator, and then add the numerators.

We are given two fractions to add: \[ \frac{-5}{8} \quad \text{and} \quad \frac{-1}{25} \]

To add the fractions, we need a common denominator. The least common multiple (LCM) of 8 and 25 is 200.

Convert each fraction to an equivalent fraction with the denominator of 200: \[ \frac{-5}{8} = \frac{-5 \times 25}{8 \times 25} = \frac{-125}{200} \] \[ \frac{-1}{25} = \frac{-1 \times 8}{25 \times 8} = \frac{-8}{200} \]

Now, add the numerators of the equivalent fractions: \[ \frac{-125}{200} + \frac{-8}{200} = \frac{-125 - 8}{200} = \frac{-133}{200} \]

Final Answer