practice & problem solving leveled practice in 6 - 8, write the decimal equivalent for each rational number…

practice & problem solving leveled practice in 6 - 8, write the decimal equivalent for each rational number. use a bar over any repeating digits. 6. $\frac{2}{3}$ 7. $\frac{3}{11}$ 8. $8\frac{4}{9}$

practice & problem solving leveled practice in 6 - 8, write the decimal equivalent for each rational number. use a bar over any repeating digits. 6. $\frac{2}{3}$ 7. $\frac{3}{11}$ 8. $8\frac{4}{9}$

Answer

Explanation:

Step1: Divide numerator by denominator for $\frac{2}{3}$

$2\div3 = 0.666\cdots=0.\overline{6}$

Step2: Divide numerator by denominator for $\frac{3}{11}$

$3\div11 = 0.2727\cdots = 0.\overline{27}$

Step3: Convert the mixed - number $8\frac{4}{9}$ to improper fraction

$8\frac{4}{9}=\frac{8\times9 + 4}{9}=\frac{72+4}{9}=\frac{76}{9}$

Step4: Divide numerator by denominator for $\frac{76}{9}$

$76\div9 = 8.444\cdots=8.\overline{4}$

Answer:

  1. $0.\overline{6}$
  2. $0.\overline{27}$
  3. $8.\overline{4}$