Convert the fractions to decimals.*5 points0.71 1.4 0.81... 0.75 2.66...5/7 2 2/3 3/4 1 2/5 9/11 5/7 2 2/3 3/4 1 2/5 9/11

1. Break Down the Problem

We need to convert the following fractions and mixed numbers into decimal form:

• $\frac{5}{7}$
• $2 \frac{2}{3}$
• $\frac{3}{4}$
• $1 \frac{2}{5}$
• $\frac{9}{11}$

2. Relevant Concepts

To convert a fraction to a decimal, divide the numerator by the denominator. For mixed numbers, convert them to improper fractions first or add the whole number to the decimal of the fractional part.

3. Analysis and Detail

1. Convert $\frac{5}{7}$ to Decimal: $5 \div 7 \approx 0.7142857142857143 \approx 0.71 \text{ (rounded to 2 decimal places)}$

2. Convert $2 \frac{2}{3}$ to Decimal:

   • First, convert to improper fraction: $2 \frac{2}{3} = \frac{8}{3}$ $8 \div 3 \approx 2.66666... \approx 2.67 \text{ (rounded to 2 decimal places)}$

3. Convert $\frac{3}{4}$ to Decimal: $3 \div 4 = 0.75$

4. Convert $1 \frac{2}{5}$ to Decimal:

   • Convert to improper fraction: $1 \frac{2}{5} = \frac{7}{5}$ $7 \div 5 = 1.4$

5. Convert $\frac{9}{11}$ to Decimal: $9 \div 11 \approx 0.8181818181818182 \approx 0.82 \text{ (rounded to 2 decimal places)}$

4. Verify and Summarize

The conversions of the above fractions and mixed numbers have been calculated, and the results are rounded to two decimal places where necessary.

Final Answer

• $\frac{5}{7} \approx 0.71$
• $2 \frac{2}{3} \approx 2.67$
• $\frac{3}{4} = 0.75$
• $1 \frac{2}{5} = 1.4$
• $\frac{9}{11} \approx 0.82$