Solve for m: 2 - 1/75 m = 59/60

The problem is to solve for the variable 'm' in the equation: \( 2 - \frac{1}{75} m = \frac{59}{60} \)

1. Isolate the term with 'm': Subtract 2 from both sides of the equation.
\[ \frac{1}{75} m = \frac{59}{60} - 2 \]
2. Convert 2 to a fraction with denominator 60: \( 2 = \frac{2 \times 60}{60} = \frac{120}{60} \)
\[ \frac{1}{75} m = \frac{59}{60} - \frac{120}{60} \]
3. Subtract the fractions:
\[ \frac{1}{75} m = \frac{59 - 120}{60} \] \[ \frac{1}{75} m = \frac{-61}{60} \]
4. Solve for 'm': Multiply both sides by 75.
\[ m = \frac{-61}{60} \times 75 \]
5. Simplify the multiplication:
\[ m = -61 \times \frac{75}{60} \] \[ m = -61 \times \frac{5 imes 15}{4 imes 15} \] \[ m = -61 \times \frac{5}{4} \]
6. Calculate the final value:
\[ m = \frac{-305}{4} \] \[ m = -76.25 \] \[ m = -76 \frac{1}{4} \]

Ответ: m = -305/4