The value of $6 × 3 ÷ 8 $ of $6 - 6 ÷ 4 × (5 - 7) + 5 - 3 × 4 ÷ 6$ of $ 3 $ is :
Answer & explanation
Correct answer: option 1
Using the rule of BODMAS,
6 × 3 ÷ 8 of 6 – 6 ÷ 4 × (5 - 7) + 5 – 3 × 4 ÷ 6 of 3
= 6 × 3 ÷ 8 of 6 – 6 ÷ 4 × (-2) + 5 – 3 × 4 ÷ 6 of 3
= 6 × 3 ÷ 48 – 6 ÷ 4 × (-2) + 5 – 3 × 4 ÷ 18
= 6 × \(\frac{3}{48}\) – 6 ÷ 4 × (-2) + 5 – 3 × 4 ÷ 18
= \(\frac{3}{8}\) – 6 ÷ 4 × (-2) + 5 – 3 × 4 ÷ 18
= \(\frac{3}{8}\) – \(\frac{6}{4}\)× (-2) + 5 – 3 × 4 ÷ 18
=\(\frac{3}{8}\) – (-3) + 5 – 3 × 4 ÷ 18
= \(\frac{3}{8}\) + 3 + 5 – 3 × 4 ÷ 18
= \(\frac{3}{8}\) + 3 + 5 – 3 × \(\frac{4}{18}\)
= \(\frac{3}{8}\) + 3 + 5 – \(\frac{2}{3}\)
= \(\frac{3}{8}\) + 8 – \(\frac{2}{3}\)
= \(\frac{185}{24}\) = $7\frac{17}{24}$