Question

put these numbers in order from smallest to highest: 80%, 6/8, 5/6, 0.77

Explanation:

Step1: Convert to decimals

Convert each number to decimal:

• \( 80\% = 0.8 \)
• \( \frac{6}{8} = 0.75 \)
• \( \frac{5}{6} \approx 0.833\ldots \)
• \( 0.77 = 0.77 \)

Step2: Order decimals

Order the decimals from smallest to largest:
\( 0.75 < 0.77 < 0.8 < 0.833\ldots \)

Step3: Map back to original

Replace decimals with original forms:
\( \frac{6}{8} < 0.77 < 80\% < \frac{5}{6} \)

Answer:

The correct order is \( \boldsymbol{6/8, 0.77, 80\%, 5/6} \) (matching the fourth option: "6/8, 0.77, 80%, 5/6").