text: Converting a Fraction to a Repeating Decimal - Advanced
  
  In this lesson, we are considering converting improper fractions into repeating decimals.
  
  Convert $\frac{11}{6}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
  
  Solution
  
  Step 1:
  
  At first, we set up the fraction as a long division problem, dividing 11 by 6
  
  Step 2:
  
  We find that on long division $\frac{11}{6} = 1.8333...$
  
  Step 3:
  
  The digit 3 keeps on repeating, so we write a bar over 3.
  
  Step 4:
  
  So, $\frac{11}{6} = 1.\overline{83}$
  
  Convert $\frac{73}{66}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
  
  Solution
  
  Step 1:
  
  At first, we set up the fraction as a long division problem, dividing 73 by 66
  
  Step 2:
  
  We find that $\frac{73}{66}$ on long division = 1.1060606...
  
  Step 3:
  
  The group of digits 06 keep on repeating, so we write a bar over them.
  
  Step 4:
  
  So, $\frac{73}{66} = 1.10606.. = 1.1\overline{06}$
  
  Convert $\frac{113}{105}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
  
  Solution
  
  Step 1:
  
  At first, we set up the fraction as a long division problem, dividing 113 by 105.
  
  Step 2:
  
  We find that $\frac{113}{105}$ on long division = 1.10761904761904...
  
  Step 3:
  
  The group of digits 761904 keep on repeating, we write a bar over these.
  
  Step 4:
  
  So, $\frac{113}{105} = 1.10761904761904... = 1.10\overline{761904}$