Simplify 7/9h + 10 − 4/9h − 3 .

Answer 1

To simplify the expression \( \frac{7}{9}h + 10 - \frac{4}{9}h - 3 \), we will first combine like terms.

1. Combine the \( h \) terms: \[ \frac{7}{9}h - \frac{4}{9}h = \left( \frac{7}{9} - \frac{4}{9} \right)h = \frac{3}{9}h = \frac{1}{3}h \]

2. Combine the constant terms: \[ 10 - 3 = 7 \]

Now, we can put the simplified \( h \) term and the constant term together: \[ \frac{1}{3}h + 7 \]

Thus, the simplified expression is: \[ \frac{1}{3}h + 7 \]