Questions: What is 0.354 as a percent? As a fraction?

What is 0.354 as a percent? As a fraction?
Transcript text: What is 0.354 as a percent? As a fraction?
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Solution

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Solution Steps

Step 1: Convert Decimal to Percent

To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol (%).

\[ 0.354 \times 100 = 35.4\% \]

Step 2: Convert Decimal to Fraction

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, and then multiply both the numerator and the denominator by 10 for each digit after the decimal point. Simplify the fraction if possible.

\[ 0.354 = \frac{354}{1000} \]

Now, simplify the fraction by finding the greatest common divisor (GCD) of 354 and 1000. The GCD is 2.

\[ \frac{354 \div 2}{1000 \div 2} = \frac{177}{500} \]

Final Answer

\[ \boxed{35.4\%} \]

\[ \boxed{\frac{177}{500}} \]

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