QQuestionMathematics
QuestionMathematics
Identify the percent of change as an increase or a decrease from 3 / 8 to 7 / 8. Find the percent of change and round to the nearest tenth of a percent if necessary.
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Answer
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Step 1:I'll solve this step by step using the precise LaTeX formatting guidelines:
Step 2:: Identify the Initial and Final Values
- Initial value: $$\frac{3}{8}
- Final value: \frac{7}{8}
Step 3:: Calculate the Change in Value
\frac{7}{8} - \frac{3}{8} = \frac{4}{8} = \frac{1}{2}
- Change in value = Final value - Initial value
Step 4:: Calculate Percent Change
- Percent change formula: $$\frac{\text{Change in value}}{\text{Original value}} \times 100\%
\frac{\frac{1}{2}}{\frac{3}{8}} \times 100\% = \frac{1 / 2}{3 / 8} \times 100\%
Step 5:: Simplify the Calculation
\frac{1/2}{3/8} = \frac{1/2 \times 8/3}{1} = \frac{4}{3} \times 100\% = 133.3\%
Step 6:: Determine Type of Change
Since the value increased from $$\frac{3}{8}$$ to $$\frac{7}{8}$$, this is an increase.
Final Answer
The percent of change is a 133.3% increase.
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