$\frac{2}{9} \div 4=$

Full solution

\frac{2}{9} \div 4=

Understanding division of a fraction: Understand the division of a fraction by a whole number. To divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number. Reciprocal of $4$ is $\frac{1}{4}$ .
Multiplying the fraction by the reciprocal: Multiply the fraction $(\frac{2}{9})$ by the reciprocal of $4$ $(\frac{1}{4})$ . $\frac{2}{9} \times \frac{1}{4} = \frac{2 \times 1}{9 \times 4}$
Performing the multiplication: Perform the multiplication. $\newline$ $2 \times 1 = 2$ $\newline$ $9 \times 4 = 36$ $\newline$ So, $(2/9) \times (1/4) = 2/36$
Simplifying the fraction: Simplify the fraction if possible. $\newline$ $\frac{2}{36}$ can be simplified by dividing both numerator and denominator by the greatest common divisor, which is $2$ . $\newline$ $\frac{2}{36} = \frac{(2/2)}{(36/2)} = \frac{1}{18}$