Simplify: \(\left\{\frac{16}{36} \div \frac{16}{4}\right\} \div \left(\frac{2}{7} \times \frac{14}{6} + \frac{5}{12}\right) + \frac{4}{7} \div \frac{39}{12} \text{ of } \frac{12}{7}\)
\(\frac{8}{39}\)
Apply BODMAS, resolving of before division. First bracket: \(\frac{16}{36} \div \frac{16}{4} = \frac{16}{36} \times \frac{4}{16} = \frac{4}{36} = \frac{1}{9}\).
Second bracket: \(\frac{2}{7} \times \frac{14}{6} + \frac{5}{12} = \frac{2}{3} + \frac{5}{12} = \frac{8}{12} + \frac{5}{12} = \frac{13}{12}\).
Resolve the of term: \(\frac{39}{12} \text{ of } \frac{12}{7} = \frac{39}{12} \times \frac{12}{7} = \frac{39}{7}\), so \(\frac{4}{7} \div \frac{39}{7} = \frac{4}{7} \times \frac{7}{39} = \frac{4}{39}\).
Now the first division: \(\frac{1}{9} \div \frac{13}{12} = \frac{1}{9} \times \frac{12}{13} = \frac{12}{117} = \frac{4}{39}\).
Add: \(\frac{4}{39} + \frac{4}{39} = \frac{8}{39}\).
Hence, the value of the expression is \(\frac{8}{39}\).
Similar Questions
- Solve the following.
$3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$ What will the value of the following expression be?
$20 - [15 - \{4 - (8 - 6 + 3)\}]$
- What is the value of the following expression?
$103 - [144 \div (12 \times 12) + 5 + 12 \div (6 - 2) + 10]$ - What is the value of $(6 + 4) \times \frac{4}{2} + 5 - 3$?
- What is the value of $\frac{(6 \times 2)}{(8 - 1 + 5)}$?
Simplify the given expression using BODMAS.
$\frac{4}{11} \times \frac{121}{16} \times 24 (75^2 - 55^2) \times \frac{1}{100}$Simplify the given expression.
$\frac{5+5\times5}{5\times5+5} \times \frac{\frac{1}{5}\div(\frac{1}{5}\times\frac{1}{5})}{(\frac{1}{5}\times\frac{1}{5})\div\frac{1}{5}} - (5 - \frac{1}{5}) \times \frac{10}{2}$- Using BODMAS, simplify the following.
$\frac{7}{9} \times \frac{21}{5} \times 25 (65^2 - 55^2)$ - Find the value of $216 \div 6 + 6 \times 4 - 10$.
- Solve the following:
$240 \div 8 \times 512 \div 4$
Important Questions from Bodmas Rule
Solve: {7.88 × 2 + 2.4 × 5 - 242.4 ÷ 4 + [9.2 × 4 - 2.46 of 3 + (36.3 ÷ 3 - 1.42 × 2)]}
What will come in the place of question mark (?) in the given expression?
(420 ÷ 12 × 35 + 452- 152) = ?2
What will come in place of the question mark ‘?’ in the following question?
(44 of 15) – [(450 × 240 ÷ 60 – 40) ÷ 80 × 25 + 50] – 10 = ?Simplify: 92 - 18 ( 9 + 36 ÷ 3 × 12 - 27 × 3) + 51
Simplify the following expression.
\(\rm \frac{3}{5}\ of\ \left\{\left(48\div\overline{36\div9}\times\frac{1}{6}\right)+\frac{1}{3}\right\}=?\)
