Questions: Convert the ratio 3:5 to a decimal fraction. Include a leading zero, if applicable.

Convert the ratio 3:5 to a decimal fraction. Include a leading zero, if applicable.
Transcript text: Convert the ratio 3:5 to a decimal fraction. Include a leading zero, if applicable.
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Solution

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Solution Steps

Step 1: Understand the ratio

The ratio \( 3:5 \) represents the relationship between two quantities, where the first quantity is 3 parts and the second quantity is 5 parts.

Step 2: Convert the ratio to a fraction

To convert the ratio \( 3:5 \) to a fraction, write the first part of the ratio as the numerator and the sum of both parts as the denominator: \[ \frac{3}{3 + 5} = \frac{3}{8} \]

Step 3: Convert the fraction to a decimal

Divide the numerator by the denominator to convert the fraction \( \frac{3}{8} \) to a decimal: \[ 3 \div 8 = 0.375 \]

Step 4: Include a leading zero

Since the decimal \( 0.375 \) already has a leading zero, no further action is needed. The final decimal fraction is: \[ 0.375 \]

Final Answer

\(\boxed{0.375}\)

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