- Ordering Fractions and Decimals
- Converting a Mixed Number to a Terminating Decimal - Advanced
- Converting a Mixed Number to a Terminating Decimal - Basic
- Using a Calculator to Convert a Fraction to a Rounded Decimal
- Converting a Fraction to a Repeating Decimal - Advanced
- Converting a Fraction to a Repeating Decimal - Basic
- Converting a Fraction to a Terminating Decimal - Advanced
- Converting a Fraction to a Terminating Decimal - Basic
- Converting a Mixed Number With a Denominator of 2, 4, or 5 to a Decimal
- Converting a Proper Fraction With a Denominator of 2, 4, or 5 to a Decimal
- Converting a Fraction With a Denominator of 100 or 1000 to a Decimal
- Converting a Fraction With a Denominator of 10 or 100 to a Decimal
- Writing a Decimal and a Fraction for a Shaded Region
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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 spanision problem, spaniding 11 by 6
Step 2:
We find that on long spanision $frac{11}{6} = 1.8333...$
Step 3:
The digit 3 keeps on repeating, so we write a bar over 3.
Step 4:
So, $frac{11}{6} = 1.overpne{83}$
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 spanision problem, spaniding 73 by 66
Step 2:
We find that $frac{73}{66}$ on long spanision = 1.1060606...
Step 3:
The group of digits 06 keep on repeating, so we write a bar over them.
Step 4:
So, $frac{73}{66} = 1.10606.. = 1.1overpne{06}$
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 spanision problem, spaniding 113 by 105.
Step 2:
We find that $frac{113}{105}$ on long spanision = 1.10761904761904...
Step 3:
The group of digits 761904 keep on repeating, we write a bar over these.
Step 4:
So, $frac{113}{105} = 1.10761904761904... = 1.10overpne{761904}$