What is the value of \(\frac{1}{2}\div\frac{3}{5}\)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{5}{6}\)
To divide by a fraction, multiply by its reciprocal (the fraction turned upside down).
The reciprocal of \(\frac{3}{5}\) is \(\frac{5}{3}\)
\(\displaystyle \frac{1}{2}\div\frac{3}{5}=\frac{1}{2}\times\frac{5}{3}\)
\(\displaystyle =\frac{1\times5}{2\times3}=\frac{5}{6}\)