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To solve the equation \(-\frac{3}{4}f = \frac{5}{4}\) for \(f\), follow these steps:

1. Start with the given equation:
   \[
   -\frac{3}{4}f = \frac{5}{4}
   \]

2. To isolate \(f\), multiply both sides of the equation by the reciprocal of \(-\frac{3}{4}\), which is \(-\frac{4}{3}\):
   \[
   f = \left(\frac{5}{4}\right) \times \left(-\frac{4}{3}\right)
   \]

3. Simplify the right side:
   \[
   f = \frac{5 \times (-4)}{4 \times 3} = \frac{-20}{12}
   \]

4. Simplify the fraction \(\frac{-20}{12}\):
   \[
   f = \frac{-20 \div 4}{12 \div 4} = \frac{-5}{3}
   \]

Therefore, \(f = -\frac{5}{3}\).

Do you want more details or have any questions?

Here are some more questions you might be interested in:

1. How do you solve equations involving negative fractions?
2. What is the reciprocal of a fraction, and how is it used in solving equations?
3. Can you explain how to simplify fractions?
4. How do you solve linear equations with variables on both sides?
5. What are the common steps to isolate a variable in an algebraic equation?

**Tip:** When dealing with fractions in equations, multiplying by the reciprocal can be a powerful tool to isolate the variable efficiently.

Learn how to solve the equation -3/4f = 5/4 for f with a detailed step-by-step solution. This problem covers key algebraic concepts such as solving equations with fractions and multiplication of fractions. Suitable for students in Grades 6-8.

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