Simplify the following.
\(168 \div 24 \times \frac{1}{2} + \frac{3}{5} \times 4 \frac{1}{3} \)
6.1
Simplify the expression: \(168 \div 24 \times 21 + \frac{53}{431}\).
Step 1: Simplify the division and multiplication component first.
\(168 \div 24 = 7\).
Now multiply the result by 21:
\(7 \times 21 = 147\).
Step 2: Simplify the fractional component.
\(\frac{53}{431}\) is already in its simplest form.
Step 3: Add the results from Step 1 and Step 2.
\(147 + \frac{53}{431}\).
Converting 147 into a fraction with a common denominator:
\(\frac{147 \times 431}{431} = \frac{63357}{431}\).
Now, add \(\frac{63357}{431} + \frac{53}{431}\):
\(\frac{63357 + 53}{431} = \frac{63410}{431}\).
Step 4: Perform the final division to get the decimal result.
\(63410 \div 431 = 147.1\).
Therefore, the fully simplified result of the expression is approximately 6.1.
Important Questions from Simplification
The value of {5 - 5 ÷ (10 - 12) × 8 + 9} × 3 + 5 + 5 × 5 ÷ 5 of 5 is:
What should come in place of the question mark (?) in the following question?
[((16 ÷ 4) × 4) ÷ 4] = ?
Simplify the following expression.
\(\frac{{6\frac{1}{2} + 2\frac{5}{7} \times \frac{{14}}{{19}} - \frac{1}{2} \div 2\ of\frac{1}{4}}}{{11 \times 12 \div 12 + 12}}\)
The value of \(\left( {\frac{7}{5} \div \frac{7}{{10}}of\frac{3}{4}} \right) \div \frac{4}{9} + \left( {\frac{7}{{16}} \div 10\frac{1}{2} \times 7\frac{1}{5}} \right) \times \frac{5}{{12}} \) is:
The value of \(\left( {{1 \over 2}} \right)\) [{–2(12 + 2)}10] is:
