Question

51/1 x 2/7 z + 51/1 x 4/7
Distribute and simplify

Answer 1

To simplify the expression \( \frac{51}{1} \times \frac{2}{7} z + \frac{51}{1} \times \frac{4}{7} \), we can follow these steps:

1. **Calculate \( \frac{51}{1} \)**:
\[
\frac{51}{1} = 51
\]

2. **Distribute \( 51 \) to both terms**:
- For the first term:
\[
51 \times \frac{2}{7} z = \frac{102}{7} z
\]
- For the second term:
\[
51 \times \frac{4}{7} = \frac{204}{7}
\]

3. **Combine the terms**:
\[
\frac{102}{7} z + \frac{204}{7}
\]

4. **Factor out the common denominator**:
\[
= \frac{1}{7} (102z + 204)
\]

5. **Final result**:
So the simplified expression is:
\[
\frac{102z + 204}{7}
\]

This is the simplified form of the given expression.