Subjects algebra

Fraction To Percent 7438A3

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1. **Problem Statement:** Convert the fraction $\frac{7}{10}$ to a decimal and then to a percent. 2. **Formula and Rules:** - To convert a fraction to a decimal, divide the numerator by the denominator: $$\text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}}$$ - To convert a decimal to a percent, multiply by 100 or move the decimal point two places to the right: $$\text{Percent} = \text{Decimal} \times 100$$ 3. **Step-by-step Solution:** - Convert $\frac{7}{10}$ to decimal: $$\frac{7}{10} = 0.7$$ - Convert decimal $0.7$ to percent: $$0.7 \times 100 = 70\%$$ 4. **Answer:** - The fraction $\frac{7}{10}$ equals $0.7$ as a decimal and $70\%$ as a percent. --- **Additional conversions for practice:** - $\frac{3}{10} = 0.3 = 30\%$ - $\frac{3}{4} = 0.75 = 75\%$ - $\frac{3}{5} = 0.6 = 60\%$ - $\frac{2}{3} \approx 0.6667 = 66.67\%$ --- **Percent to fraction examples:** - $78\% = \frac{78}{100} = \frac{39}{50}$ - $106\% = \frac{106}{100} = \frac{53}{50}$ - $94\% = \frac{94}{100} = \frac{47}{50}$ - $5\% = \frac{5}{100} = \frac{1}{20}$ --- **Exit Ticket:** - Convert $\frac{2}{8}$ to percent: $$\frac{2}{8} = 0.25 = 25\%$$ - Convert $11\%$ to fraction: $$11\% = \frac{11}{100}$$