To solve for \( a \) in the equation:

\[
\frac{5}{6}a = f
\]

Follow these steps:

1. Multiply both sides of the equation by the reciprocal of \( \frac{5}{6} \) to isolate \( a \). The reciprocal of \( \frac{5}{6} \) is \( \frac{6}{5} \).

\[
a = f \times \frac{6}{5}
\]

So, the solution is:

\[
a = \frac{6}{5}f
\]

Would you like further details or explanations?

Here are 5 related questions for practice:
1. Solve \( \frac{3}{4}a = 9 \) for \( a \).
2. If \( 7a = f \), solve for \( a \).
3. Solve \( \frac{8}{5}a = 20 \) for \( a \).
4. If \( \frac{2}{3}a = b \), solve for \( a \).
5. Find \( a \) when \( \frac{7}{9}a = 4 \).

**Tip:** When solving for a variable, multiplying by the reciprocal of the coefficient isolates the variable efficiently.

Learn how to solve the linear equation 5/6a = f for a with a step-by-step solution. This problem demonstrates key algebraic concepts like solving linear equations with fractions, using multiplication by the reciprocal. Suitable for students in Grades 6-8.

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