Question
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Solve each of the following 1. \( -0.12+\left(-7 \times \frac{1}{5}\right) \div 4 \)

Ask by Watkins Bowman. in Malaysia
Mar 10,2025

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Tutor-Verified Answer

Answer

The final answer is \(-0.47\).

Solution

1. Simplify the multiplication inside the parentheses: \[ -7 \times \frac{1}{5} = -\frac{7}{5} \] 2. Replace the multiplication in the original expression: \[ -0.12 + \left(-\frac{7}{5}\right) \div 4 \] 3. Perform the division: \[ -\frac{7}{5} \div 4 = -\frac{7}{5} \times \frac{1}{4} = -\frac{7}{20} \] 4. Combine the terms: \[ -0.12 + \left(-\frac{7}{20}\right) \] Convert \(-0.12\) to a fraction: \[ -0.12 = -\frac{12}{100} = -\frac{3}{25} \] Find a common denominator for \(-\frac{3}{25}\) and \(-\frac{7}{20}\). The least common denominator of 25 and 20 is 100. \[ -\frac{3}{25} = -\frac{12}{100}, \quad -\frac{7}{20} = -\frac{35}{100} \] 5. Add the fractions: \[ -\frac{12}{100} - \frac{35}{100} = -\frac{47}{100} \] The final answer is: \[ -\frac{47}{100} \quad \text{or} \quad -0.47 \]

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To solve the expression \( -0.12+\left(-7 \times \frac{1}{5}\right) \div 4 \), we start by calculating the part inside the parentheses first. 1. Calculate \( -7 \times \frac{1}{5} \): \[ -7 \times \frac{1}{5} = -\frac{7}{5} = -1.4 \] 2. Now, substitute back into the expression: \[ -0.12 + \left(-1.4\right) \div 4 \] 3. Next, calculate \( -1.4 \div 4 \): \[ -1.4 \div 4 = -0.35 \] 4. Now, substitute again: \[ -0.12 + (-0.35) \] 5. Finally, combine the two numbers: \[ -0.12 - 0.35 = -0.47 \] So, the final result is \( -0.47 \).

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