To subtract, find the difference between the numerators and put the difference over the common denominator. To add the fractions, add the numerators together and put them over the common denominator. Whether you are working with fractions, whole numbers or decimals, use these guidelines when adding and subtracting positive and negative numbers. Once the denominators are all the same, adding and subtracting fractions is as simple as adding or subtracting the numerators. Simplifying Operations on Negative Numbers This calculator rewrites negative fractions when it shows the work involved in finding the answer. 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. When an equation calls for adding a negative fraction, we can rewrite the equation as subtracting a positive fraction. The resulting fraction can be simplified to lowest terms or written as a mixed number. When all denominators are alike, simply add or subtract the numerators and place the result over the common denominator. Least Common Denominator (LCD) then rewrite all fractions in the equation as equivalent fractions using the LCD as the denominator. When fractions have unlike denominators the first step is to find equivalent fractions so that all of the denominators are the same. When the Denominators are Unlike or Different If necessary we can simplify the fraction to lowest terms or a mixed number. When fractions have the same denominators we simply add or subtract the numerators as indicated and place the result over the common denominator. How to Add and Subtract Fractions When the Denominators are the Same You can add and subtract 3 fractions, 4 fractions, 5 fractions and up to 9 fractions at a time. Click the Calculate button to solve the equation and show the work. Select the number of fractions in your equation and then input numerators and denominators in the available fields. The quotient of a positive and a negative number is negative.Add and subtract proper and improper fractions with this calculator and see the work involved in the solution.The quotient of two negative numbers is positive.The product of a positive and a negative number is negative.The product of two negative numbers is positive. However, there are some additional rules to keep in mind when dealing with negative fractions: Negative fractions follow the same rules as positive fractions when it comes to addition, subtraction, multiplication, and division. Here is an overview for calculating negative fractions: When you place the negative sign in front of the numerator, you can use any of the formulas or steps above to calculate a fraction normally. This allows you to use any of the formulas above to add or subtract a negative fraction. Negative fractions should only have one negative sign.īecause the negative sign can be in several places, it is most helpful to put the sign on the numerator. When the numerator and the denominator both have a negative sign in front, then the fraction is actually positive. The negative sign can be placed in front of the fraction, aligned with the fraction bar, or it can be in front of the numerator or denominator. Multiply the whole number by the denominator.Ģ 2 / 5 = 12 / 5 How to Calculate Negative FractionsĪ negative fraction is one that is denoted with a minus sign in front.
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