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Evaluate.

(8)/(3)÷(5)/(3)=

Evaluate. $\newline$ $\frac{8}{3} \div \frac{5}{3}=$

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Evaluate logarithms using a calculator

Full solution

Q. Evaluate.

\newline

\frac{8}{3} \div \frac{5}{3}=

Step $1$ : Multiply by reciprocal: To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
Step $2$ : Perform the multiplication: The reciprocal of $(\frac{5}{3})$ is $(\frac{3}{5})$ . Now we multiply $(\frac{8}{3})$ by $(\frac{3}{5})$ .
Step $3$ : Simplify the multiplication: Perform the multiplication: $(\frac{8}{3}) \times (\frac{3}{5}) = (\frac{8 \times 3}{3 \times 5})$ .
Step $4$ : Simplify the fraction: Simplify the multiplication: $(8 \times 3) / (3 \times 5) = 24 / 15$ .
Step $5$ : Final result: Now, simplify the fraction $\frac{24}{15}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ .
Step $5$ : Final result: Now, simplify the fraction $\frac{24}{15}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . After simplification: $(\frac{24}{3}) / (\frac{15}{3}) = \frac{8}{5}$ .
Step $5$ : Final result: Now, simplify the fraction $\frac{24}{15}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . After simplification: $(\frac{24}{3}) / (\frac{15}{3}) = \frac{8}{5}$ . The fraction $\frac{8}{5}$ is the final result, and it cannot be simplified further. This is the answer to the division problem.

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