What is 80/4 as a Decimal?
80/4 = 20
Step by step
- Simplify: 80/4 = 20/1 (divide by 4)
- Divide the numerator by the denominator: 80 ÷ 4 = 20
How the answer is worked out
A fraction is a division: 80/4 means 80 divided by 4, and doing that division gives 20. The division ends after a few digits, because the simplified denominator has no prime factors other than 2 and 5.
As a percentage, 80/4 is 2,000%. It is an improper fraction: as a mixed number it is 20.
Why calculate this?
Decimals are easier to compare and to use in calculators and spreadsheets than fractions.
- Cooking: a recipe that asks for 80/4 of a cup needs 20 cups, about 4,800 millilitres.
- Measuring: 80/4 of an inch is 20 inches, or 508 millimetres.
- Money: 80/4 of a dollar is about $20, and 80/4 of $100 is $2,000.
A quicker way
The simplified denominator 1 divides 10, so scale the fraction up instead of dividing: 20/1 = 200/10 = 20.
Check the answer
Work backwards: 20 × 4 = 80, which is 80 once rounding is allowed for.
Rounding
Rounded to a whole number the decimal is 20, to one decimal place 20.0 and to two decimal places 20.00. Round only at the end: rounding halfway through a calculation can change the last digit.
The formula explained
decimal = numerator ÷ denominator. The numerator is the top number and counts the pieces; the denominator is the bottom number and says how many equal pieces make a whole. Dividing the top by the bottom gives the size of the fraction as a decimal.
Another worked example: 16/62 as a decimal
- Simplify: 16/62 = 8/31 (divide by 2)
- Divide the numerator by the denominator: 16 ÷ 62 = 0.25806452
- The digits in brackets repeat forever: 0.(258064516129032)
Equivalent fractions
80/4 has the same value as 160/8, 240/12 and 800/40: multiplying the top and bottom by the same number never changes a fraction. All of them give 20 when divided out.
Comparing with nearby fractions
80/4 (20) is bigger than 80/5 (16) and smaller than 81/4 (20.25). A bigger denominator means smaller pieces, so with the same numerator the fraction gets smaller.
The reciprocal
Flipping the fraction gives 4/80 = 0.05. A number multiplied by its reciprocal is always 1: 80/4 × 4/80 = 1.
In time and money
80/4 of an hour is 1,200 minutes, and 80/4 of a day is 480 hours.
In a pie chart
A slice worth 80/4 of the whole takes up 7,200 degrees of the circle, because a full turn is 360 degrees. That is the angle to draw when you make the chart by hand with a protractor.
Other ways to ask this
The same calculation is often asked in other words. All of these have the answer above:
- 80/4 in decimal form
- 80 divided by 4
- Convert 80 over 4 to a decimal
- What is 80 ÷ 4?
- 80 out of 4 as a decimal number
Terms used on this page
- Numerator: the top number of a fraction.
- Denominator: the bottom number, the number of equal parts in a whole.
- Terminating decimal: a decimal that ends, such as 0.25.
- Repeating decimal: a decimal whose digits repeat forever, such as 0.333….
The answer in other forms
| Decimal | 20 |
|---|---|
| Percentage | 2,000% |
| Simplified | 20/1 |
| Type | improper fraction |
Related results
| 1/4 as a decimal | 1/4 = 0.25 |
| 2/4 as a decimal | 2/4 = 0.5 |
| 3/4 as a decimal | 3/4 = 0.75 |
| 81/4 as a decimal | 81/4 = 20.25 |
| 79/4 as a decimal | 79/4 = 19.75 |
The other way round: 4/80 as a decimal
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =80/4 into any cell. Replace the numbers with cell references (for example A1 and B1) to reuse the formula for a whole column.
Common mistakes
Dividing the denominator by the numerator flips the fraction. A bar over (or brackets around) digits means they repeat forever.
Practice examples
| 16/62 as a decimal | Show answer16/62 = 0.(258064516129032) |
| 9/6 as a decimal | Show answer9/6 = 1.5 |
| 83/67 as a decimal | Show answer83/67 = 1.(238805970149253731343283582089552) |
| 53/36 as a decimal | Show answer53/36 = 1.47(2) |
| 10/50 as a decimal | Show answer10/50 = 0.2 |
| 57/58 as a decimal | Show answer57/58 = 0.9(8275862068965517241379310344) |
| 40/73 as a decimal | Show answer40/73 = 0.(54794520) |
| 46/66 as a decimal | Show answer46/66 = 0.(69) |
| 24/58 as a decimal | Show answer24/58 = 0.(4137931034482758620689655172) |
| 20/30 as a decimal | Show answer20/30 = 0.(6) |
How this answer was calculated
The result is worked out from the numbers in this page's address when the page is opened, using exact arithmetic wherever possible and rounding only for display. Nothing is copied from a printed table. If you think an answer is wrong, please tell us through the contact page and we will check it.
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Questions
What is 80/4 as a Decimal?
80/4 as a decimal is 20. Long-division steps and simplified fraction.
What is 80/4 as a percentage?
2,000%. Multiply the decimal 20 by 100.
What is 80/4 in simplest form?
20/1. Divide the top and bottom by their greatest common factor, 4.
Is 80/4 a terminating or a repeating decimal?
Terminating: it stops at 20.
What is 80/4 rounded to two decimal places?
20.00. Rounded to three places it is 20.000.
What is 80/4 of 100?
2,000. Multiply 100 by 80 and divide by 4, or multiply 100 by the decimal 20.
What is 80/4 as a ratio?
80:4, or 20:1 in simplest form. A ratio compares the part with the whole in the same way the fraction does.