Understand the problem: Understand the division problem. We need to divide the fraction (2/3) by the whole number 8. Convert whole number to fraction: Convert the whole number 8 into a fraction by placing it over 1 to make the division easier. So, 8 becomes 8/1. Change to multiplication problem: Change the division problem into a multiplication problem by taking the reciprocal of the second fraction. The reciprocal of 8/1 is 1/8. Perform multiplication: Multiply the first fraction by the reciprocal of the second fraction. So, (2/3) * (1/8) = (2*1)/(3*8). Write down result: Perform the multiplication. Multiply the numerators together and the denominators together. 2*1 = 2 and 3*8 = 24. Simplify the fraction: Write down the result of the multiplication as a new fraction. The result is 2/24. Divide by greatest common divisor: Simplify the fraction by finding the greatest common divisor of the numerator and the denominator. The greatest common divisor of 2 and 24 is 2. Write down final answer: Divide both the numerator and the denominator by the greatest common divisor to simplify the fraction. 2/2 = 1 and 24/2 = 12. Write down the simplified fraction. The final answer is 1/12.

Grade 7

Multiply and divide integers

Full solution

\frac{2}{3} \div 8=

Understand the problem: Understand the division problem. We need to divide the fraction $(\frac{2}{3})$ by the whole number $8$ .
Convert whole number to fraction: Convert the whole number $8$ into a fraction by placing it over $1$ to make the division easier. So, $8$ becomes $\frac{8}{1}$ .
Change to multiplication problem: Change the division problem into a multiplication problem by taking the reciprocal of the second fraction. The reciprocal of $\frac{8}{1}$ is $\frac{1}{8}$ .
Perform multiplication: Multiply the first fraction by the reciprocal of the second fraction. So, $(\frac{2}{3}) \times (\frac{1}{8}) = (\frac{2\times 1}{3\times 8})$ .
Write down result: Perform the multiplication. Multiply the numerators together and the denominators together. $2 \times 1 = 2$ and $3 \times 8 = 24$ .
Simplify the fraction: Write down the result of the multiplication as a new fraction. The result is $\frac{2}{24}$ .
Divide by greatest common divisor: Simplify the fraction by finding the greatest common divisor of the numerator and the denominator. The greatest common divisor of $2$ and $24$ is $2$ .
Write down final answer: Divide both the numerator and the denominator by the greatest common divisor to simplify the fraction. $\frac{2}{2} = 1$ and $\frac{24}{2} = 12$ .
Write down final answer: Divide both the numerator and the denominator by the greatest common divisor to simplify the fraction. $\frac{2}{2} = 1$ and $\frac{24}{2} = 12$ . Write down the simplified fraction. The final answer is $\frac{1}{12}$ .