Question
Compute 5/8 divided by 3/8 Simplify answer if possible
Answers
GPT-4o mini
To compute \( \frac{5}{8} \div \frac{3}{8} \), you can use the rule that dividing by a fraction is equivalent to multiplying by its reciprocal.
First, find the reciprocal of \( \frac{3}{8} \), which is \( \frac{8}{3} \).
Now, rewrite the division as a multiplication:
\[
\frac{5}{8} \div \frac{3}{8} = \frac{5}{8} \times \frac{8}{3}
\]
Next, multiply the numerators and the denominators:
\[
= \frac{5 \times 8}{8 \times 3} = \frac{40}{24}
\]
Now, simplify \( \frac{40}{24} \) by finding the greatest common divisor (GCD) of 40 and 24, which is 8.
Divide both the numerator and the denominator by 8:
\[
\frac{40 \div 8}{24 \div 8} = \frac{5}{3}
\]
Therefore, the simplified answer is
\[
\frac{5}{3}
\]
First, find the reciprocal of \( \frac{3}{8} \), which is \( \frac{8}{3} \).
Now, rewrite the division as a multiplication:
\[
\frac{5}{8} \div \frac{3}{8} = \frac{5}{8} \times \frac{8}{3}
\]
Next, multiply the numerators and the denominators:
\[
= \frac{5 \times 8}{8 \times 3} = \frac{40}{24}
\]
Now, simplify \( \frac{40}{24} \) by finding the greatest common divisor (GCD) of 40 and 24, which is 8.
Divide both the numerator and the denominator by 8:
\[
\frac{40 \div 8}{24 \div 8} = \frac{5}{3}
\]
Therefore, the simplified answer is
\[
\frac{5}{3}
\]