$\frac{3}{8} \div 4=$

Full solution

\frac{3}{8} \div 4=

Convert to mathematical expression: Convert the given problem into a mathematical expression. $\newline$ The problem asks us to divide $\frac{3}{8}$ of a yard of wood into $4$ equal parts. This can be written as $\left(\frac{3}{8}\right) \div 4$ .
Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second number. $\newline$ To divide by a whole number, we multiply by its reciprocal. The reciprocal of $4$ is $1/4$ . So, we rewrite the expression as $(3/8) \times (1/4)$ .
Multiply the fractions: Multiply the two fractions. $\newline$ To multiply fractions, we multiply the numerators together and the denominators together. So, we have $(3 \times 1)$ for the numerator and $(8 \times 4)$ for the denominator. $\newline$ This gives us $\frac{3}{32}$ .
Check the result: Check the result. $\newline$ We have divided $\frac{3}{8}$ by $4$ and obtained $\frac{3}{32}$ . To check, we can multiply $\frac{3}{32}$ by $4$ to see if we get back to $\frac{3}{8}$ . $\newline$ $(\frac{3}{32}) \times 4 = \frac{3}{8}$ , which confirms our division is correct.