Saturday 24 June 2023
Adding Fractions Calculator
Adding Fractions Calculator
Calculator Use
Add and subtract proper and improper fractions with this calculator and see the work involved in the solution.
Select the number of fractions in your equation and then input numerators and denominators in the available fields. Click the Calculate button to solve the equation and show the work.
You can add and subtract 3 fractions, 4 fractions, 5 fractions and up to 9 fractions at a time.
How to Add and Subtract Fractions
When the Denominators are the Same
When fractions have the same denominators we simply add or subtract the numerators as indicated and place the result over the common denominator. If necessary we can simplify the fraction to lowest terms or a mixed number.
When the Denominators are Unlike or Different
When fractions have unlike denominators the first step is to find equivalent fractions so that all of the denominators are the same. We find the Least Common Denominator (LCD) then rewrite all fractions in the equation as equivalent fractions using the LCD as the denominator. When all denominators are alike, simply add or subtract the numerators and place the result over the common denominator. The resulting fraction can be simplified to lowest terms or written as a mixed number.
How to Work With Negative Fractions
When an equation calls for adding a negative fraction, we can rewrite the equation as subtracting a positive fraction. Likewise, if the equation calls for subtracting a negative fraction, this is the same as adding a positive fraction and can be rewritten this way. This calculator rewrites negative fractions when it shows the work involved in finding the answer.
Simplifying Operations on Negative Numbers
Whether you are working with fractions, whole numbers or decimals, use these guidelines when adding and subtracting positive and negative numbers.
Original
Operation
Operand Sign
Adding a Positive Number
+
+
Adding a Negative Number
+
-
Subtracting a Positive Number
−
+
Subtracting a Negative Number
−
-
Changes to
Operation
Operand Sign
+
+
Adding a Positive Number
−
+
Subtracting a Positive Number
−
+
Subtracting a Positive Number
+
+
Adding a Positive Number
Cite this content, page or calculator as:
Furey, Edward "Adding Fractions Calculator" at https://www.calculatorsoup.com/calculators/math/adding-fractions-calculator.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators
fractions calculator
Fractions Calculator
A fractions calculator is a tool that helps perform
calculations involving fractions. It allows you to perform operations such as
addition, subtraction, multiplication, and division with fractions. The
calculator takes the input of fractions and provides the output in the form of
simplified fractions or mixed numbers.
Here's an example to help explain the usage of a fractions
calculator:
Let's say you have two fractions: 3/4 and 1/2. You want to
find their sum.
Using a fractions calculator:
Input the first fraction: 3/4
Input the operation: +
Input the second fraction: 1/2
Press the calculate button.
The fractions calculator will then perform the addition
operation and provide the result:
3/4 + 1/2 = 5/4
The result can be interpreted as a simplified fraction,
which means it cannot be further reduced. In this case, 5/4 is already in its
simplest form.
Fractions calculators can also handle other operations such
as subtraction, multiplication, and division. The process for performing these
operations is similar, where you input the fractions and the desired operation,
and the calculator provides the result.
For instance, if you want to multiply the fractions 2/3 and
3/5 using a fractions calculator, you would input the fractions, the
multiplication symbol (*), and the calculator would provide the result:
2/3 * 3/5 = 6/15
The fractions calculator may also simplify the result
further if possible:
6/15 simplifies to 2/5
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