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Quick Answer: 5 Divided by 6
5 divided by 6 is equal to the fraction 5/6, or approximately 0.8333... in decimal form.
Why? Since 5 is smaller than 6, the result is a proper fraction with a value less than 1. Its decimal form repeats the digit 3 after 0.8.
Quick Answer Reference
Division Expressions and Results
Explore fractions, division, and their mathematical results.
| Expression | Mathematical Form | Result | Type of Result |
|---|---|---|---|
| 5 divided by 6 | 5 ÷ 6 | 5/6 ≈ 0.8333... | Proper Fraction / Repeating Decimal |
| 5 divided by 5/6 | 5 ÷ (5/6) | 6 | Whole Integer |
| 5 divided by 1/6 | 5 ÷ (1/6) | 30 | Whole Integer |
Tip: When dividing by a fraction, multiply by its reciprocal. For example, 5 ÷ (5/6) = 5 × (6/5) = 6.
5 Divided by 6 as a Fraction and Decimal
1 As a Fraction
In fraction notation, division is written with the dividend as the numerator and the divisor as the denominator.
Exact answer in fraction form
Since 5 and 6 share no common factor other than 1, 5/6 is already in its simplest form. It cannot be reduced further.
2 As a Decimal
To convert 5/6 into a decimal, divide 5 by 6 using long division.
6 cannot go into 5 as a whole number, so write 0. and add a zero to make 50.
6 × 8 = 48. Subtract 48 from 50 to get a remainder of 2. The first digit after the decimal is 8.
Bring down another zero to get 20. Since 6 × 3 = 18, the remainder is again 2.
The remainder stays at 2, so the digit 3 repeats indefinitely.
Decimal Form
The digit 3 repeats forever.
Rounding to Decimal Places
| Precision | Rounded Answer |
|---|---|
| 2 decimal places | 0.83 |
| 3 decimal places | 0.833 |
| 4 decimal places | 0.8333 |
3 As a Percentage
To convert a fraction or decimal into a percentage, multiply its value by 100 and add the percent sign (%).
Calculation
Approximately 83.33% when rounded to two decimal places.
Dividing 5 by Fractions: Related Calculations
A common point of confusion occurs when dividing 5 by a fraction rather than a whole number. In fraction division, invert the divisor (find its reciprocal) and multiply.
Quick Summary
Divide by 5/6
Answer = 6
Divide by 1/6
Answer = 30
Remember: Keep the first number, change division to multiplication, and flip the fraction.
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Frequently Asked Questions
Quick answers about 5 divided by 6
