Add and simpfly..

7/27 + 1/43 + 3/10

Convert to a common denominator and then add the numerators.

27, 43 and 10 have no common integer factors. In fact, 43 is a prime number. Therefore, in this case the lowest common denominator is the product of 27x43x10, which is 11,610.

okay after i have the common denominator which is 11,610. whats the next step?

Rewrite every fraction with that denominator and add the numerators.

(3010 + 270 + 3483)/11,610
= 6763/11,610

See of that can be reduced to lower terms. I don't think it can.

To solve this problem, we need to find a common denominator for the fractions. The least common denominator (LCD) for the denominators 27, 43, and 10 is 270.

Now, we need to convert each fraction to have a denominator of 270. To do this, we multiply both the numerator and denominator of each fraction by the same factor to get the denominator to be 270.

For the first fraction, 7/27, we need to multiply both the numerator and denominator by 10 to get a denominator of 270. Multiplying gives us (7 * 10)/(27 * 10) = 70/270.

For the second fraction, 1/43, we need to multiply both the numerator and denominator by 6 to get a denominator of 270. This gives us (1 * 6)/(43 * 6) = 6/270.

For the third fraction, 3/10, we need to multiply both the numerator and denominator by 27 to get a denominator of 270. This gives us (3 * 27)/(10 * 27) = 81/270.

Now that all the fractions have the same denominator, we can add them together:

70/270 + 6/270 + 81/270 = (70 + 6 + 81)/270 = 157/270.

So, the simplified sum of the fractions 7/27 + 1/43 + 3/10 is 157/270.