Expand 7/10(5d+6)

Answer 1

To expand the expression \( \frac{7}{10}(5d + 6) \), you can distribute \( \frac{7}{10} \) to both terms inside the parentheses.

1. Multiply \( \frac{7}{10} \) by \( 5d \): \[ \frac{7}{10} \cdot 5d = \frac{7 \cdot 5d}{10} = \frac{35d}{10} = \frac{7d}{2} \]

2. Multiply \( \frac{7}{10} \) by \( 6 \): \[ \frac{7}{10} \cdot 6 = \frac{7 \cdot 6}{10} = \frac{42}{10} = \frac{21}{5} \]

Now, combine both results:

\[ \frac{7}{10}(5d + 6) = \frac{7d}{2} + \frac{21}{5} \]

So the expanded expression is:

\[ \frac{7d}{2} + \frac{21}{5} \]