(7/9/25+6/7/26)=

To solve the expression (7/9/25 + 6/7/26), we should assume that it means:

\[ \left(\frac{7}{9 \times 25}\right) + \left(\frac{6}{7 \times 26}\right) \]

We need to calculate the two fractions separately and then add them together. First, calculate the denominators:

For the first fraction, \( 9 \times 25 = 225 \) For the second fraction, \( 7 \times 26 = 182 \)

Now the expression becomes:

\[ \frac{7}{225} + \frac{6}{182} \]

To add these two fractions, we need to find a common denominator. The least common multiple (LCM) of 225 and 182 is their product, because they are coprime (they have no common factors other than 1).

The common denominator is \( 225 \times 182 \). So, we convert both fractions to have this common denominator:

\[ \frac{7 \times 182}{225 \times 182} + \frac{6 \times 225}{225 \times 182} \]

Now, multiply the numerators accordingly:

\[ \frac{7 \times 182}{40950} + \frac{6 \times 225}{40950} \] \[ \frac{1274}{40950} + \frac{1350}{40950} \]

Next, add the numerators together:

\[ \frac{1274 + 1350}{40950} \] \[ \frac{2624}{40950} \]

We should now see if this fraction can be simplified. To do this, find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number. But, in this case, 2624 and 40950 do not share any common factors besides 1, so the fraction is already in its simplest form.

Finally, the simplified answer of the original expression is:

\[ \frac{2624}{40950} \]