(79/25+6/726)=

To solve the expression \(\frac{79}{25} + \frac{6}{726}\), you need to find a common denominator and then add the fractions. The fractions have denominators 25 and 726. The common denominator needs to be a multiple of both of these numbers, which in this case is simply their product, since 25 and 726 are coprime (they have no common factors other than 1). So the common denominator is \(25 \times 726\). First, let's express \(\frac{79}{25}\) with the common denominator: \[ \frac{79}{25} \cdot \frac{726}{726} = \frac{79 \times 726}{25 \times 726} \] Now, let's express \(\frac{6}{726}\) with the same common denominator: \[ \frac{6}{726} \cdot \frac{25}{25} = \frac{6 \times 25}{726 \times 25} \] Now that we have both fractions with the common denominator, we can add them: \[ \frac{79 \times 726}{25 \times 726} + \frac{6 \times 25}{726 \times 25} = \frac{79 \times 726 + 6 \times 25}{25 \times 726} \] Calculating the numerators: 79 × 726 = 57354 6 × 25 = 150 Now, plug these results back into the fraction: \[ \frac{57354 + 150}{25 \times 726} = \frac{57504}{18250} \] Now, since the numerator and denominator are both divisible by 25, we can simplify the fraction: \[ \frac{57504}{18250} = \frac{57504 \div 25}{18250 \div 25} = \frac{2300.16}{730} \] Now, let's divide the numerator by the denominator: 2300.16 ÷ 730 = 3.1510205479452054794520547945205 The resulting value is approximately 3.151, depending on how many decimal places you need to round to for your desired accuracy.