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
Simplify the following expression.
\(\left(\frac{7}{16} \div \frac{1}{2}\:of\: \frac{1}{5}\right)\times \frac{4}{5}-\frac{1}{3}\times\frac{5}{8}\div \frac{1}{2}+\frac{3}{4}\)
The value of \(\left( {2\frac{6}{7}of4\frac{1}{5} \div \frac{2}{3}} \right) \times 5\frac{1}{9} \div \left( {\frac{3}{4} \times 2\frac{2}{3}of\frac{1}{2} \div \frac{1}{4}} \right)\) is:
The value of \(\left[ {\frac{4}{7}\rm \;of\;2\frac{4}{5} \times 1\frac{2}{3} - \left( {3\frac{1}{2} - 2\frac{1}{6}} \right)} \right] \div \left( {3\frac{1}{5} \div 4\frac{1}{2}\;\rm of\;\;5\frac{1}{3}} \right)\) is:
The value of \(\frac{{0.0203 \times 2.92}}{{0.7 \times 0.0365 \times 2.9}} \div \frac{{{{\left( {12.12} \right)}^2} - {{\left( {8.12} \right)}^2}}}{{{{\left( {0.25} \right)}^2} + \left( {0.25} \right)\left( {19.99} \right)}}\) is:
The value of 4 ÷ 12 of [3 ÷ 4 of {(4 - 2) × 6 ÷ 2}] - 2 × 6 ÷ 8 + 3 is:
