$\frac{5}{6}$ as a decimal
Answer (1)
Divide 5 by 6.
The result is a repeating decimal 0.8333...
Represent the repeating decimal as 0.8 3 .
The decimal representation of 6 5 is 0.8 3 .
Explanation
Problem Analysis We need to convert the fraction 6 5 to its decimal representation. This can be done by performing long division or recognizing common fraction to decimal conversions.
Performing the Division We can perform the division 5 ÷ 6 . Since 6 doesn't go into 5, we add a decimal point and a 0, making it 50. 6 goes into 50 eight times ( 6 × 8 = 48 ), with a remainder of 2. We add another 0, making it 20. 6 goes into 20 three times ( 6 × 3 = 18 ), with a remainder of 2. This pattern continues, so we get a repeating decimal.
Decimal Representation The result of the division is 0.83333... , where the 3 repeats infinitely. We can write this as 0.8 3 .
Final Answer Therefore, the decimal representation of 6 5 is 0.8 3 .
Examples
In cooking, if a recipe calls for 6 5 of a cup of flour, it's easier to measure out the equivalent decimal amount, which is approximately 0.83 cups. This conversion helps in accurately scaling recipes and ensuring consistent results.
