Questions: 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.
Solution
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:
\[
0.375
\]