Question

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

Answer 1

To simplify the expression \( \frac{51}{1} \times \frac{2}{7} + \frac{51}{1} \times \frac{4}{7} \), we can first use the distributive property.

1. Start by factoring out \( \frac{51}{1} \):
\[
\frac{51}{1} \times \frac{2}{7} + \frac{51}{1} \times \frac{4}{7} = \frac{51}{1} \left( \frac{2}{7} + \frac{4}{7} \right)
\]

2. Now simplify the expression inside the parentheses:
\[
\frac{2}{7} + \frac{4}{7} = \frac{2 + 4}{7} = \frac{6}{7}
\]

3. Substitute back into the expression:
\[
\frac{51}{1} \times \frac{6}{7} = 51 \times \frac{6}{7}
\]

4. Calculate \( 51 \times 6 \):
\[
51 \times 6 = 306
\]

5. Now put it over 7:
\[
\frac{306}{7}
\]

So, the simplified expression is:
\[
\frac{306}{7}
\]