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Fraction Adder

World's Simplest Number Tool

Quickly calculate the sum of fractions in your browser. To get the sum, just enter your list of fractions in the input field, adjust the separator between the numbers in the options below, and this utility will count all these fractions. Created by developers from team Browserling.

᠎᠎᠎          Tool Options

Input and Output

Enter the symbol that delimits
the input fractions.
Display a sequence of partial
cumulative sums.

Reducing and Fraction Type

Reduce the output sum fraction
to the lowest terms.
(E.g. 2/4 → 1/2 or 6/3 → 2.)
If the numerator is larger than the
denominator, leave the fraction
unchanged. (E.g. 5/3 or ⁹⁄₂.)
If the numerator is larger than the
denominator, extract the integer part
before the fraction.
(E.g. 5/3 → 1 + 2/3.)

Decimals and Fraction Format

Display decimal value next
to the fractional sum.
Use only 7-bit ASCII symbols
to represent fractions.
(E.g. 1/2 or 1_2/3.)
Use superscript and subscript
Unicode symbols to represent
fractions. (E.g. ¹⁄₂ or 1²⁄₃.)

What Is a Fraction Adder?

This is an online browser-based program for calculating the sum of a bunch of fractions. It takes two or more fractions of the form "a/b" and "c/d", where "a" and "c" are numerators and "b" and "d" are denominators, and calculates their common denominator by finding the least common multiple (LCM) of "b" and "d". It then changes both fractions to have the same LCM denominator and adds both numerators. By default, it also reduces the resulting fraction to its simple form by dividing both numerator and denominator by their greatest common factor (GCF). If you don't want to reduce the fraction, just uncheck the "Simplify Fraction" option. When the numerator is larger than the denominator, you have two choices – you can display the fraction in an improper form or convert it to a mixed fraction that is a sum of an integer number plus a proper fraction. You can also select the output format for fractions – they can be printed as 7-bit ASCII characters, for example, 1/2, 5/3, or 1 + 2/5, or they can be printed as Unicode superscript and subscript glyphs that look nicer, for example, ¹⁄₂, ⁵⁄₃, or 1²⁄₅. You can add up any number of fractions by entering each fraction on a new line. If the fractions are separated by a comma or a semicolon, then you can change the sequence format by setting the input delimiter to the symbol that separates fractions. The input fractions can be proper (numerator < denominator), improper (numerator > denominator), or mixed (a whole number and a proper fraction together). When working with mixed fractions, use the formats "c+a/b", "c_a/b", or "c a/b" (where c is the whole part). This tool also works integers (for example, 2, 5, -10) and decimals (for example, 0.2, 1.5, -3.4). To see how the resulting total changes when more and more fractions are added together, use the "Running Sum" option, which displays partial sums during the calculation. Also, as it's not always instantly obvious how large is a fraction, you can activate the "Show Decimal Value" option, which shows the exact or approximate decimal value next to the fraction. That's numberwang!


Fraction Adder Examples

Click to try!

Add Two Fractions

This example adds two proper fractions: 1/2 and 1/6. First, it finds the least common multiple (LCM) of denominators, which is 6. Then it multiplies the first term by 3/3 to have the same denominator as in the second term: (3/3)×(1/2) = 3/6. Finally, it adds the numerators of both terms: (3 + 1)/6 = 4/6. As the simplify-fractions option is activated here, the utility also reduces the fraction by 2 and returns it in ASCII format as 2/3.

1/2 1/6
2/3
Required options
These options will be used automatically if you select this example.
Enter the symbol that delimits
the input fractions.
Display a sequence of partial
cumulative sums.
Reduce the output sum fraction
to the lowest terms.
(E.g. 2/4 → 1/2 or 6/3 → 2.)
If the numerator is larger than the
denominator, leave the fraction
unchanged. (E.g. 5/3 or ⁹⁄₂.)
Display decimal value next
to the fractional sum.
Use only 7-bit ASCII symbols
to represent fractions.
(E.g. 1/2 or 1_2/3.)

Cumulative Sum

In this example, we add an improper negative fraction and two proper positive fractions. As you can see, the fractions are input as a series of addends. To process them, we set the input separator to "+" to correctly separate all three numbers. To show all steps of fraction summation, we activate the "Cumulative Sum" option and use the "Show Decimal Value" option to display the decimal floating-point values of results. We have deactivated the "Simplify Fraction" option here and you can see the total sum as an improper fraction with the common denominator of all three fractions.

-4/3 + 5/6 + 3/4
-4/3 (-1.33333) -3/6 (-0.5) 3/12 (0.25)
Required options
These options will be used automatically if you select this example.
Enter the symbol that delimits
the input fractions.
Display a sequence of partial
cumulative sums.
Reduce the output sum fraction
to the lowest terms.
(E.g. 2/4 → 1/2 or 6/3 → 2.)
If the numerator is larger than the
denominator, leave the fraction
unchanged. (E.g. 5/3 or ⁹⁄₂.)
Display decimal value next
to the fractional sum.
Use only 7-bit ASCII symbols
to represent fractions.
(E.g. 1/2 or 1_2/3.)

Add Various Fractions

In this example, we calculate the sum of proper, improper, and mixed fractions, as well as regular integer and decimal numbers. We display the partial sum using the sup and sub Unicode characters. We reduce all fractions to their simplest form and extract the whole part before the fraction where the numerator is greater than the denominator.

5/6 7/5 2+1/6 -5 0.8
⁵⁄₆ 2⁷⁄₃₀ 4²⁄₅ -³⁄₅ ¹⁄₅
Required options
These options will be used automatically if you select this example.
Enter the symbol that delimits
the input fractions.
Display a sequence of partial
cumulative sums.
Reduce the output sum fraction
to the lowest terms.
(E.g. 2/4 → 1/2 or 6/3 → 2.)
If the numerator is larger than the
denominator, extract the integer part
before the fraction.
(E.g. 5/3 → 1 + 2/3.)
Display decimal value next
to the fractional sum.
Use superscript and subscript
Unicode symbols to represent
fractions. (E.g. ¹⁄₂ or 1²⁄₃.)

Pro tips Master online number tools

You can pass input to this tool via ?input query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!

https://onlinetools.com/number/add-fractions?input=1/2%0A1/6&input-separator=%255Cn&running-sum=false&simplify-fraction=true&improper-fraction=true&show-decimal=false&ascii-fraction=true

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