Question

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

Answer 1

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:
\[
\frac{4}{3}
\]