Full solution

\frac{7}{8}\div 2

Understand the problem: Understand the problem. $\newline$ We need to divide the fraction $(7/8)$ by $2$ . This is the same as multiplying $(7/8)$ by the reciprocal of $2$ , which is $1/2$ .
Set up the expression: Set up the expression. $\newline$ $(\frac{7}{8}) \div 2$ is the same as $(\frac{7}{8}) \times (\frac{1}{2})$ .
Multiply the numerators: Multiply the numerators. $\newline$ Multiply the numerators of the fractions: $7 \times 1 = 7$ .
Multiply the denominators: Multiply the denominators. $\newline$ Multiply the denominators of the fractions: $8 \times 2 = 16$ .
Write the result as a fraction: Write the result as a fraction. $\newline$ The result of the multiplication is the fraction $(7)/(16)$ .
Check for possible simplification: Check for possible simplification. $\newline$ The fraction $(7)/(16)$ cannot be simplified further as $7$ and $16$ have no common factors other than $1$ .