Question

Solve for m
7+ (9.6 divided by m) = 8.6

Answer 1

To solve for \( m \) in the equation

\[
7 + \frac{9.6}{m} = 8.6,
\]

first, subtract 7 from both sides:

\[
\frac{9.6}{m} = 8.6 - 7.
\]

Calculating the right side gives:

\[
\frac{9.6}{m} = 1.6.
\]

Next, multiply both sides by \( m \):

\[
9.6 = 1.6m.
\]

Now, divide both sides by 1.6 to isolate \( m \):

\[
m = \frac{9.6}{1.6}.
\]

Calculating the right side:

\[
m = 6.
\]

Thus, the solution is

\[
\boxed{6}.
\]