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Q
QuestionMathematics

Convert the following decimal to a fraction: 1.67
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the decimal

The decimal to convert is $$1.67

Step 3:
: Understand the conversion process

To convert a decimal to a fraction, we need to: - Determine the number of decimal places - Create a fraction with the decimal number as the numerator - Divide by the appropriate power of 10 as the denominator

Step 4:
: Count decimal places

1.67$$ has 2 decimal places

Step 5:
: Create initial fraction

\frac{167}{100}

Step 6:
: Simplify the fraction

- This means $$\frac{167}{100}$$ is already in its simplest form
To simplify, we'll find the greatest common divisor (GCD) of 167 and 100 - The GCD is 1

Final Answer

Note: The fraction \frac{167}{100} cannot be reduced further, so this is the most simplified form of the decimal 1.67 as a fraction.