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16. \( \left(\frac{20}{100}+\frac{25}{100}\right)+\frac{25}{100} \)

Ask by Carroll Cross. in the United States
Jan 23,2025

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Tutor-Verified Answer

Answer

The value of the expression is \( \frac{70}{100} \) or 70%.

Solution

To solve the expression: \[ \left(\frac{20}{100} + \frac{25}{100}\right) + \frac{25}{100} \] **Step 1:** Add the fractions inside the first parentheses. \[ \frac{20}{100} + \frac{25}{100} = \frac{20 + 25}{100} = \frac{45}{100} \] **Step 2:** Add the result to the remaining fraction. \[ \frac{45}{100} + \frac{25}{100} = \frac{45 + 25}{100} = \frac{70}{100} \] **Step 3:** Simplify the fraction, if necessary. \[ \frac{70}{100} = 0.70 \quad \text{or} \quad 70\% \] **Final Answer:** The value of the expression is **\(\frac{70}{100}\)**, which is equal to **70%**.

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To simplify \( \left(\frac{20}{100}+\frac{25}{100}\right)+\frac{25}{100} \), first calculate the sum inside the parentheses: \(\frac{20}{100} + \frac{25}{100} = \frac{20 + 25}{100} = \frac{45}{100}\). Now, add the last fraction: \(\frac{45}{100} + \frac{25}{100} = \frac{45 + 25}{100} = \frac{70}{100}\). So the final result is \( \frac{70}{100} \), which simplifies to \( 0.7 \) or \( 70\% \).

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