$\frac{8}{5} \div 3=$

Full solution

\frac{8}{5} \div 3=

Understand the problem: Understand the division problem. We need to divide the fraction $\frac{8}{5}$ by the whole number $3$ .
Convert whole number to fraction: Convert the whole number into a fraction. $\newline$ To divide by a whole number, we can convert it into a fraction by putting it over $1$ . $\newline$ $3$ becomes $\frac{3}{1}$ .
Change division to multiplication: Change the division to multiplication by taking the reciprocal of the second fraction. $\newline$ Instead of dividing by $\frac{3}{1}$ , we multiply by its reciprocal, which is $\frac{1}{3}$ . $\newline$ $(\frac{8}{5}) \div (\frac{3}{1})$ becomes $(\frac{8}{5}) \times (\frac{1}{3})$ .
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ Multiply the numerators: $8 \times 1 = 8$ . $\newline$ Multiply the denominators: $5 \times 3 = 15$ . $\newline$ The result of the multiplication is $\frac{8}{15}$ .
Simplify the fraction: Simplify the fraction if necessary. $\newline$ The fraction $\frac{8}{15}$ cannot be simplified further as $8$ and $15$ have no common factors other than $1$ .