$\frac{3}{10} \div 6=$

Full solution

\frac{3}{10} \div 6=

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 $6$ is $\frac{1}{6}$ .
Multiplying the fraction by the reciprocal: Multiply the fraction $(\frac{3}{10})$ by the reciprocal of $6$ $(\frac{1}{6})$ . $(\frac{3}{10}) \times (\frac{1}{6}) = (\frac{3 \times 1}{10 \times 6})$
Performing the multiplication: Perform the multiplication. $\newline$ $3 \times 1 = 3$ $\newline$ $10 \times 6 = 60$ $\newline$ So, $\frac{3}{10} \times \frac{1}{6} = \frac{3}{60}$
Simplifying the fraction: Simplify the fraction. $\newline$ $\frac{3}{60}$ can be simplified by dividing both numerator and denominator by their greatest common divisor, which is $3$ . $\newline$ $3 \div 3 = 1$ $\newline$ $60 \div 3 = 20$ $\newline$ So, $\frac{3}{60}$ simplifies to $\frac{1}{20}$ .