Understand the division problem: Understand the division problem. We need to divide 7/12 by 2. This is the same as multiplying 7/12 by the reciprocal of 2.Find the reciprocal of 2: Find the reciprocal of 2. The reciprocal of 2 is 1/2.Multiply 7/12 by 1/2: Multiply 7/12 by 1/2. (7/12) * (1/2) = (7 * 1) / (12 * 2)Perform the multiplication: Perform the multiplication. 7 * 1 = 7 12 * 2 = 24 So, (7/12) * (1/2) = 7/24Check for any possible simplification: Check for any possible simplification. 7 and 24 have no common factors other than 1, so the fraction 7/24 is already in its simplest form.

Grade 6

Divide whole numbers and unit fractions

Full solution

\frac{7}{12} \div 2=

Understand the division problem: Understand the division problem. $\newline$ We need to divide $\frac{7}{12}$ by $2$ . This is the same as multiplying $\frac{7}{12}$ by the reciprocal of $2$ .
Find the reciprocal of $2$ : Find the reciprocal of $2$ . The reciprocal of $2$ is $\frac{1}{2}$ .
Multiply $\frac{7}{12}$ by $\frac{1}{2}$ : Multiply $\frac{7}{12}$ by $\frac{1}{2}$ .\left(\frac{$7$}{$12$}\right) \times \left(\frac{$1$}{$2$}\right) = \left(\frac{$7$ \times $1$}{$12$ \times $2$}\right)
Perform the multiplication: Perform the multiplication.\(\newline $7 \times 1 = 7$ $\newline$ $12 \times 2 = 24$ $\newline$ So, $\frac{7}{12} \times \frac{1}{2} = \frac{7}{24}$
Check for any possible simplification: Check for any possible simplification. $7$ and $24$ have no common factors other than $1$ , so the fraction $\frac{7}{24}$ is already in its simplest form.