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 1/6.Multiplying the fraction by the reciprocal: Multiply the fraction (3/10) by the reciprocal of 6 (1/6). (3/10) * (1/6) = (3 * 1) / (10 * 6)Performing the multiplication: Perform the multiplication. 3 * 1 = 3 10 * 6 = 60 So, (3/10) * (1/6) = 3/60Simplifying the fraction: Simplify the fraction. 3/60 can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 3. 3 ÷ 3 = 1 60 ÷ 3 = 20 So, 3/60 simplifies to 1/20.

Grade 6

Divide whole numbers and unit fractions

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 $\frac{1}{20}$ .