The simplified value of \(\displaystyle\frac{\frac{1}{3}\div2+10}{\frac{1}{3}\times2+10}\) is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(\frac{61}{64}\)
By BODMAS, the division and the multiplication are done before the addition of 10, in the numerator and in the denominator separately.
Numerator: \(\displaystyle \frac{1}{3}\div2+10=\frac{1}{6}+10=\frac{61}{6}\)
Denominator: \(\displaystyle \frac{1}{3}\times2+10=\frac{2}{3}+10=\frac{32}{3}\)
Value \(\displaystyle =\frac{61}{6}\div\frac{32}{3}=\frac{61}{6}\times\frac{3}{32}=\frac{61}{64}\)