Understand the expression: Understand the expression. The expression 7÷(3)/(8) can be confusing due to the division signs. It's important to clarify that it means 7 divided by 3, and then the result of that division is divided by 8.Divide 7 by 3: Divide 7 by 3. To simplify the expression, we first divide 7 by 3. 7 ÷ 3 = 2.3333... (which is a repeating decimal, but we can also express it as the fraction 7/3 for exactness).Divide the result by 8: Divide the result by 8. Now we take the result from Step 2, which is 7/3, and divide it by 8. (7/3) ÷ 8 can be written as (7/3) * (1/8) because dividing by a number is the same as multiplying by its reciprocal.Multiply the two fractions: Multiply the two fractions. Now we multiply the numerators and the denominators separately. (7 * 1) / (3 * 8) = 7 / 24.Simplify the fraction if possible: Simplify the fraction if possible. The fraction 7/24 is already in its simplest form because 7 and 24 have no common factors other than 1.

Grade 7

Powers with negative bases

Full solution

7 \div (3) / (8) =

Understand the expression: Understand the expression. $\newline$ The expression $7\div(3)/(8)$ can be confusing due to the division signs. It's important to clarify that it means $7$ divided by $3$ , and then the result of that division is divided by $8$ .
Divide $7$ by $3$ : Divide $7$ by $3$ . To simplify the expression, we first divide $7$ by $3$ . $7 \div 3 = 2.3333\ldots$ (which is a repeating decimal, but we can also express it as the fraction $\frac{7}{3}$ for exactness).
Divide the result by $8$ : Divide the result by $8$ . $\newline$ Now we take the result from Step $2$ , which is $\frac{7}{3}$ , and divide it by $8$ . $\newline$ $(\frac{7}{3}) \div 8$ can be written as $(\frac{7}{3}) \times (\frac{1}{8})$ because dividing by a number is the same as multiplying by its reciprocal.
Multiply the two fractions: Multiply the two fractions. $\newline$ Now we multiply the numerators and the denominators separately. $\newline$ $(7 \times 1) / (3 \times 8) = 7 / 24$ .
Simplify the fraction if possible: Simplify the fraction if possible. $\newline$ The fraction $\frac{7}{24}$ is already in its simplest form because $7$ and $24$ have no common factors other than $1$ .