Question

solve for h.
$h\div\frac{3}{4}=\frac{5}{6}$
$h=\square$

Explanation:

Step1: Multiply both sides by $\frac{3}{4}$

To solve for \( h \), we multiply both sides of the equation \( h \div \frac{3}{4} = \frac{5}{6} \) by \( \frac{3}{4} \). This is because dividing by a fraction is the same as multiplying by its reciprocal, and we want to isolate \( h \). So the equation becomes \( h = \frac{5}{6} \times \frac{3}{4} \).

Step2: Multiply the fractions

When multiplying fractions, we multiply the numerators together and the denominators together. So \( \frac{5}{6} \times \frac{3}{4} = \frac{5 \times 3}{6 \times 4} = \frac{15}{24} \). Then we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. So \( \frac{15 \div 3}{24 \div 3} = \frac{5}{8} \).

Answer:

\( \frac{5}{8} \)