Question

name amani roy
fractions to decimals & percents sheet 1
fraction → divide numerator by denominator. → decimal → multiply by 100. → percent

fraction	decimal	percent
¾	7.5	75%
⅖	0.4	40%
⅛	0.125	12.5%
⅞	0.875	87.5%
¼	0.25	25%
⁷⁄₁₀	0.7	70%
³⁄₁₀	0.3	30%
⅓	0.33	33%
⁵⁄₆
²⁄₉
⁵⁄₄
³⁄₁₆
⁸⁄₅
⁷⁄₅₀

Explanation:

Step1: Identify the error in ¾'s decimal

The fraction \( \frac{3}{4} \) should be calculated as \( 3 \div 4 \).
\( 3 \div 4 = 0.75 \), not \( 7.5 \).

Step2: Correct the decimal for \( \frac{3}{4} \)

Replace \( 7.5 \) with \( 0.75 \) in the decimal column for \( \frac{3}{4} \).

Step3: Process \( \frac{5}{6} \) to decimal and percent

• Decimal: \( 5 \div 6 \approx 0.833 \) (repeating, but typically rounded to three decimal places for simplicity).
• Percent: Multiply the decimal by 100: \( 0.833 \times 100 = 83.3\% \) (or \( 83.\overline{3}\% \) for the repeating decimal).

Step4: Process \( \frac{2}{9} \) to decimal and percent

• Decimal: \( 2 \div 9 \approx 0.222 \) (repeating).
• Percent: \( 0.222 \times 100 = 22.2\% \) (or \( 22.\overline{2}\% \)).

Step5: Process \( \frac{5}{4} \) to decimal and percent

• Decimal: \( 5 \div 4 = 1.25 \).
• Percent: \( 1.25 \times 100 = 125\% \).

Step6: Process \( \frac{3}{16} \) to decimal and percent

• Decimal: \( 3 \div 16 = 0.1875 \).
• Percent: \( 0.1875 \times 100 = 18.75\% \).

Step7: Process \( \frac{8}{5} \) to decimal and percent

• Decimal: \( 8 \div 5 = 1.6 \).
• Percent: \( 1.6 \times 100 = 160\% \).

Step8: Process \( \frac{7}{50} \) to decimal and percent

• Decimal: \( 7 \div 50 = 0.14 \).
• Percent: \( 0.14 \times 100 = 14\% \).

Answer:

• Corrected decimal for \( \frac{3}{4} \): \( 0.75 \)
• \( \frac{5}{6} \): Decimal \( \approx 0.833 \), Percent \( \approx 83.3\% \)
• \( \frac{2}{9} \): Decimal \( \approx 0.222 \), Percent \( \approx 22.2\% \)
• \( \frac{5}{4} \): Decimal \( 1.25 \), Percent \( 125\% \)
• \( \frac{3}{16} \): Decimal \( 0.1875 \), Percent \( 18.75\% \)
• \( \frac{8}{5} \): Decimal \( 1.6 \), Percent \( 160\% \)
• \( \frac{7}{50} \): Decimal \( 0.14 \), Percent \( 14\% \)