Simplify: \(\dfrac{\left(\frac{16}{21}\right)}{\left(\frac{16}{4}\right)} \div \left(\dfrac{4}{5}\times\dfrac{10}{12}+\dfrac{4}{7}\right)+\dfrac{4}{8}\div\dfrac{26}{14}\text{ of }\dfrac{14}{8}\)
\(\tfrac{4}{13}\)
\(\dfrac{16/21}{16/4} = \dfrac{16}{21}\times\dfrac{4}{16} = \dfrac{4}{21}\).
Inside the bracket: \(\dfrac45\times\dfrac{10}{12}=\dfrac23\), plus \(\dfrac47\) gives \(\dfrac23+\dfrac47=\dfrac{26}{21}\).
First part: \(\dfrac{4}{21}\div\dfrac{26}{21} = \dfrac{4}{26} = \dfrac{2}{13}\).
For the second part, \(\dfrac48=\dfrac12\), and \(\dfrac{26}{14}\text{ of }\dfrac{14}{8} = \dfrac{26}{8}=\dfrac{13}{4}\), so \(\dfrac12\div\dfrac{13}{4} = \dfrac12\times\dfrac{4}{13}=\dfrac{2}{13}\).
Adding both parts: \(\dfrac{2}{13}+\dfrac{2}{13} = \dfrac{4}{13}\).
Hence, the simplified value of the expression is \(\tfrac{4}{13}\).
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Important Questions from Bodmas Rule
The value of 90 ÷ 20 of 6 × [11 ÷ 4 of {3 × 2 - (3 - 8)}] ÷ (9 ÷ 3 × 2) is:
The value of 1800 ÷ 20 × {(12 - 6) + (24 - 12)} is:
The value of 20 ÷ 5 of 8 × [9 ÷ 6 × (6 - 3)] - (10 ÷ 2 of 20) is:
The value of \(\left( {18 \div 2\;of\frac{1}{4}} \right)\; \times \;\left( {\frac{2}{3} \div \frac{3}{4}\; \times \;\frac{5}{8}} \right) \div \left( {\frac{2}{3} \div \frac{3}{4}of\frac{3}{4}} \right)\) is:
The value of 18 ÷ [26 - {25 - (15 - 5) ÷ 2}] of 12 + 2 - 2 ÷ 4 × 16 is:
