Question

Solve the following equations:
7m + 9/12 = 13

Answer 1

m = 1.75

Step-by-step explanation:

1. Start rewriting the equation by converting
`(9)/(12)` into decimal form

`9/12 = 0.75`

Therefore the new equation is now

`7m + 0.75 = 13`

2. Subtract 0.75 to both sides of the equations

`7m +0.75 -0.75 = 13 - 0.75`

`7m = 12.25`

3. Divide 7 to both sides of the equation

`(7m)/(7) =(12.25)/(7)`

`m = 1.75`

Answer 2

To solve 7m + 9/12 = 13, simplify the fraction to 3/4, isolate the variable, subtract fractions and finally divide by 7 to get m = 1.75.

Step-by-step explanation:

Step-by-Step Solution to the Equation

To solve the equation 7m + 9/12 = 13, follow these steps:

1. First, simplify the fraction on the left side of the equation. Since 9/12 can be reduced to 3/4, the equation becomes 7m + 3/4 = 13.

2. Next, to isolate the variable on one side, subtract 3/4 from both sides of the equation, which gives 7m = 13 - 3/4.

3. In order to subtract the fraction from the whole number, convert the whole number 13 into a fraction that has the same denominator as 3/4. The number 13 is equivalent to 52/4, so the equation now reads 7m = 52/4 - 3/4.

4. Subtract the right side fractions to get 7m = 49/4.

5. Finally, to find the value of 'm,' divide both sides of the equation by 7: m = (49/4) / 7.

6. Simplify the right side by dividing 49 by 7, which results in m = 7/4 or m = 1.75 as the solution.

After solving the equation, it's important to check the answer to ensure it is reasonable and that it satisfies the original equation when substituted back in.