Case 1
- First fraction: numerator
- 3
- First fraction: denominator
- 4
- Operation
- Add (+)
- Second fraction: numerator
- 5
- Second fraction: denominator
- 6
1.5833
Open with these valuesFraction Calculator
Change any value to update the result.
1.5833
Result as a decimal: 1.5833Examples
The result here is the decimal value, not a reduced fraction — a fraction is two numbers and this shows one. For 3/4 + 5/6 that is 1.5833, which is the same quantity as 19/12 written the other way.
The numbers at a glance
Held fixed: First fraction: numerator 3, First fraction: denominator 4, Operation Add (+), Second fraction: numerator 5.
| Second fraction: denominator | Result as a decimal |
|---|---|
| 2 | 3.2500 |
| 4 | 2.0000 |
| 6Your value | 1.5833 |
| 8 | 1.3750 |
| 10 | 1.2500 |
| 12 | 1.1667 |
Worked examples
Case 2
- First fraction: numerator
- 1
- First fraction: denominator
- 3
- Operation
- Divide (÷)
- Second fraction: numerator
- 1
- Second fraction: denominator
- 6
2.0000
Open with these valuesCase 3
- First fraction: numerator
- 1
- First fraction: denominator
- 2
- Operation
- Multiply (×)
- Second fraction: numerator
- 2
- Second fraction: denominator
- 3
0.3333
Open with these valuesHow it's calculated
a/b ∘ c/d, as a decimal
- StepEnter the first fraction, numerator over denominator.
- StepChoose add, subtract, multiply or divide.
- StepEnter the second fraction.
- ResultRead the decimal result.1.5833
What this number means
A fraction is a division waiting to happen: 3/4 means three divided by four, which is 0.75. This calculator takes two of them, applies one of four operations, and reports the answer as a single decimal. Each operation works differently.
Adding and subtracting need a common denominator first — 3/4 and 5/6 both fit over twelve, becoming 9/12 and 10/12, which together make 19/12 and appear here as 1.5833. Multiplying is the straightforward one: numerator times numerator, denominator times denominator, so 1/2 × 2/3 is 2/6, or 0.3333. Dividing turns the second fraction upside down and multiplies, which is why 1/3 ÷ 1/6 comes to 2 rather than to something smaller — one sixth fits into one third exactly twice.
The output is a decimal because a fraction is two numbers and only one number comes out of this calculator. 1.5833 and 19/12 are the same quantity in two notations, and four decimal places is where a value that never terminates gets cut off. Numerators and denominators both accept negative values and numbers up to a million, and both are whole numbers — a fraction of a fraction is not what the fields are for. The one entry with no answer is a denominator of zero, which is not a fraction at all.
The result is a decimal, not a reduced fraction
A fraction is two numbers and the output here is one. For 3/4 + 5/6 that is 1.5833, the same quantity as 19/12 written the other way.
Dividing means multiplying by the reciprocal
a/b ÷ c/d asks how many c/d fit into a/b, and flipping the second fraction turns that into a multiplication. Flip the wrong one and 1/3 ÷ 1/6 comes out as 1/18 instead of 2.
Negative fractions are allowed
Numerators and denominators both accept negative values. A minus sign in the denominator moves to the front of the result, as it should.
Four decimal places, so some results are rounded
The output carries four decimals. A value that never terminates, such as 19/12, is shown cut off at that point rather than exactly.
Commonly misread
Misconception3/4 + 5/6 is 19/12, so the 1.5833 shown here is wrong.
CorrectionThose are the same quantity in two notations. The decimal is what this calculator shows, because a fraction needs two numbers and only one is output.
MisconceptionTo add two fractions, add the numerators and the denominators.
CorrectionBring them to a common denominator first, then add the numerators and leave the denominator alone. For 3/4 + 5/6 that is 9/12 + 10/12 = 19/12.
MisconceptionDividing always makes the result smaller.
CorrectionNot when you divide by a fraction below one: 1/3 ÷ 1/6 is 2. Division multiplies by the reciprocal, and the reciprocal of a small fraction is large.
MisconceptionA minus sign in the denominator cancels itself out.
CorrectionIt does not. The minus moves to the front of the result, which stays negative.
Questions
How do you add two fractions?
Bring them to a common denominator, add the numerators, and leave the denominator alone. For 3/4 + 5/6 that is 9/12 + 10/12 = 19/12, which this calculator shows as 1.5833.
Why do you flip the second fraction when dividing?
Dividing by a fraction is multiplying by its reciprocal, because a/b ÷ c/d asks how many c/d fit into a/b. Flipping turns the question into a multiplication.
Why does the result show a decimal instead of a fraction?
Because a fraction is two numbers and the output here is one. The decimal is the same quantity written differently — 1.5833 and 19/12 are the same value.
Can I enter negative fractions?
Yes, both numerators and denominators accept negative values. A minus sign in the denominator moves to the front of the result, as it should.