Questions: Compute the sum indicated and simplify your answer. 3/43 + 22/43 + 2/43

Solution Steps

To solve the problem, we need to add the fractions. Since they have the same denominator, we can directly add the numerators and keep the denominator the same. Finally, simplify the fraction if possible.

The fractions given are \(\frac{3}{43}\), \(\frac{22}{43}\), and \(\frac{2}{43}\). All fractions have a common denominator of 43.

Since the denominators are the same, we add the numerators: \[ 3 + 22 + 2 = 27 \]

Combine the sum of the numerators over the common denominator: \[ \frac{27}{43} \]

The fraction \(\frac{27}{43}\) is already in its simplest form as 27 and 43 have no common factors other than 1.

Final Answer