Explanation how solve step by step 2/7m-1/7=3/14

m = 25/28

Step-by-step explanation:

It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity: 2/7m-1/7=3/14 = > (2/7 (m - (1/7) = (3/14).

The LCD is 14; each of the denominators {7, 14} divides evenly into 14. Hence our equation becomes

(4) (m - 1/7) = 3

... after multiplying every term by 14.

Let's multiply each side by 7 to eliminate the remaining fraction:

4 (7m - 1) = 21, or

28m - 4 = 21, or

28m = 25.

Hence, m = 25/28.