Question

Simplify ½÷(-⅓+⅖) answer fast ok​

Answer 1

We first hαve to solve the brαcket, αnd then, do the division.

Lets do it !!

$\tt{ \frac{1}{2} \div \bigg( \frac{ - 1}{3} + \frac{2}{5} } \bigg) \\ \\ \mapsto\tt{ \frac{1}{2} \div \bigg(\frac{ - 1 \times 5}{3 \times 5} + \frac{ - 2 \times 3}{ 5 \times 3} } \bigg) \\ \\ \mapsto \tt{ \frac{1}{2} \div \bigg( \frac{ - 5 + 6}{15} \bigg)} \\ \\ \mapsto \tt{ \frac{1}{2} \div \frac{ - 11}{15} } \\ \\ \mapsto \tt{ \frac{1}{2} \times \frac{ - 15}{11} } \\ \\ \mapsto \tt{ \frac{1 \times - 15}{2 \times 11} } = \green{ \boxed{ \tt{ \orange{ \frac{ - 15}{22} }}}}$

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αnd we αre done !! :D