76/34+56/35

To compute \( \frac{76}{34} + \frac{56}{35} \), we first need to find a common denominator. The denominators are 34 and 35.

The least common multiple (LCM) of 34 and 35 is 1190.

Now we convert each fraction:

1. For \( \frac{76}{34} \): \[ \frac{76}{34} = \frac{76 \times 35}{34 \times 35} = \frac{2660}{1190} \]

2. For \( \frac{56}{35} \): \[ \frac{56}{35} = \frac{56 \times 34}{35 \times 34} = \frac{1904}{1190} \]

Now we can add the two fractions: \[ \frac{2660}{1190} + \frac{1904}{1190} = \frac{2660 + 1904}{1190} = \frac{4564}{1190} \]

Finally, we can simplify \( \frac{4564}{1190} \):

The greatest common divisor (GCD) of 4564 and 1190 is 2. Dividing the numerator and denominator by 2: \[ \frac{4564 \div 2}{1190 \div 2} = \frac{2282}{595} \]

Thus, the final answer is: \[ \frac{2282}{595} \]