\[\left(\frac{8.4}{0.7} + \frac{2.4}{4}\right) \div \left(\frac{9.6}{8} - \frac{3}{5}\right)\]
Expression Simplification Steps
To find the simplified value of the expression \( \left(\frac{8.4}{0.7} + \frac{2.4}{4}\right) \div \left(\frac{9.6}{8} - \frac{3}{5}\right) \), we will solve the parts inside the parentheses first.
Numerator Calculation
First, calculate the value within the first parenthesis:
- Calculate the first term: \( \frac{8.4}{0.7} = \frac{84}{7} = 12 \)
- Calculate the second term: \( \frac{2.4}{4} = 0.6 \)
- Add the results to find the numerator's value: \( 12 + 0.6 = 12.6 \)
Denominator Calculation
Next, calculate the value within the second parenthesis:
- Calculate the first term: \( \frac{9.6}{8} = 1.2 \)
- Calculate the second term: \( \frac{3}{5} = 0.6 \)
- Subtract the second term from the first to find the denominator's value: \( 1.2 - 0.6 = 0.6 \)
Final Division
Finally, divide the calculated numerator value by the calculated denominator value:
\( \frac{12.6}{0.6} \)To simplify the division, multiply the numerator and denominator by 10:
\( \frac{12.6 \times 10}{0.6 \times 10} = \frac{126}{6} \)Perform the division:
\( \frac{126}{6} = 21 \)Simplified Value Found
The simplified value of the expression is 21.
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Important Questions from Simplification
If P = 0.3 × 0.3 + 0.03 × 0.03 - 0.6 × 0.03 and Q = 0.54, then \(\rm \frac{P}{Q}\) is equal to:
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There are 5 tasks and 5 persons. Task-1 cannot be assigned to either person-1 or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?
