simplify\ \frac{h\frac{2}{3}}{h\ \frac{1}{2}}\

1 answer

To simplify the expression \(\frac{h \frac{2}{3}}{h \frac{1}{2}}\), we can follow these steps:

  1. Write the expression with fractions clearly: \[ \frac{h \cdot \frac{2}{3}}{h \cdot \frac{1}{2}} \]

  2. Since \(h\) is present in both the numerator and the denominator, we can cancel \(h\) (assuming \(h \neq 0\)): \[ \frac{\frac{2}{3}}{\frac{1}{2}} \]

  3. Dividing fractions is equivalent to multiplying by the reciprocal: \[ \frac{2}{3} \cdot \frac{2}{1} = \frac{2 \cdot 2}{3 \cdot 1} = \frac{4}{3} \]

Thus, the simplified expression is: \[ \frac{4}{3} \]