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Question : The value of $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \div \frac{4}{3}+\frac{1}{2}$ is:

Option 1: $\frac{2}{3}$

Option 2: $\frac{2}{5}$

Option 3: $-\frac{11}{60}$

Option 4: $0$


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

Correct Answer: $\frac{2}{3}$


Solution : Given: $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \div \frac{4}{3}+\frac{1}{2}$
= $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \times \frac{3}{4}+\frac{1}{2}$
= $\frac{2}{3}-\frac{5}{6} \times  \frac{3}{5}+\frac{1}{2}$
= $\frac{2}{3}- \frac{1}{2}+\frac{1}{2}$
= $\frac{2}{3}$
Hence, the correct answer is $\frac{2}{3}$.

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