Questions: Perform the indicated operation. If possible, reduce the answer to its lowest terms. 3/10 + 4/5 3/10 + 4/5 = (Simplify your answer. Type a whole number, fraction, or mixed number.)

Solution Steps

To solve the given problem, we need to perform the addition of two fractions. The steps are as follows:

1. Find a common denominator for the fractions.
2. Convert each fraction to an equivalent fraction with the common denominator.
3. Add the numerators of the equivalent fractions.
4. Simplify the resulting fraction if possible.

We start with the fractions \( \frac{3}{10} \) and \( \frac{4}{5} \).

The least common denominator (LCD) of \( 10 \) and \( 5 \) is \( 10 \).

The fraction \( \frac{4}{5} \) can be converted to an equivalent fraction with a denominator of \( 10 \): \[ \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} \]

Now we can add the two fractions: \[ \frac{3}{10} + \frac{8}{10} = \frac{3 + 8}{10} = \frac{11}{10} \]

The fraction \( \frac{11}{10} \) is already in its simplest form.

Final Answer