Solving Equations with Fractions
3m/5 - 1/2 = 7/10
solve for M
i need a step my step process.
i need help.
multiply both sides of the equation by 10
6m-5=7
add five to both sides.
divide both sides by 6
To solve the equation (3m/5) - (1/2) = (7/10) for m, you can follow these step-by-step instructions:
Step 1: Clear the fractions by finding a common denominator for all the fractions involved. In this case, the common denominator will be 10 because it is a multiple of both 5 and 2.
The equation becomes: (6m/10) - (5/10) = (7/10)
Step 2: Combine the fractions on the left-hand side of the equation. Subtract the numerators and place the result over the common denominator:
(6m - 5)/10 = (7/10)
Step 3: Now, eliminate the fraction by multiplying both sides of the equation by 10 (the common denominator):
10 * [(6m - 5)/10] = 10 * (7/10)
Simplifying, you get: 6m - 5 = 7
Step 4: Solve for m by isolating the variable on one side of the equation. In this case, add 5 to both sides of the equation:
6m - 5 + 5 = 7 + 5
Simplifying further, you have: 6m = 12
Step 5: Divide both sides of the equation by 6 to solve for m:
(6m)/6 = 12/6
Simplifying, you get: m = 2
Therefore, the solution to the equation is m = 2.