How do you simplify

3x/5y+1/7

Common denominator = 35y:

3x/5y + 1/7 = (21x + 5y) / 35y.

hint:

the LCD = 35y

To simplify the expression (3x/5y) + (1/7), we'll first need to find the least common denominator (LCD) of the fractions involved. The LCD is the smallest multiple that both denominators have in common.

In this case, the denominators of the fractions are 5y and 7, which have no common factors. Therefore, the LCD will be the product of these two denominators, which is 5y * 7 = 35y.

Next, we'll rewrite each fraction with the LCD as the new denominator:

(3x/5y) + (1/7)

= (3x/5y) * (7/7) + (1/7) * (5y/5y)

Now, we can rewrite the expression:

(3x * 7 + 5y) / (5y * 7)

= (21x + 5y) / 35y

So, the simplified form of (3x/5y) + (1/7) is (21x + 5y) / 35y.