Use this fraction calculator because that adding, subtracting, multiplying and also dividing fractions. Answers space fractions in lowest state or combined numbers in decreased form.
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Input proper or improper fractions, pick the mathematics sign and also click Calculate. This is a fraction calculator through steps shown in the solution.
If you have negative fractions insert a minus sign before the numerator. Therefore if one of your fountain is -6/7, insert -6 in the numerator and also 7 in the denominator.
Sometimes math problems include words "of," as in What is 1/3 the 3/8? Of method you need to multiply therefore you should solve 1/3 × 3/8. To do math with mixed numbers (whole numbers and fractions) usage the blended Numbers Calculator.
Math ~ above Fractions v Unlike Denominators
There room 2 cases where you need to recognize if your fractions have different denominators:if you are including fractions if you room subtracting fractions
How to add or Subtract Fractionsdiscover the least usual denominator for your an initial fraction, uncover what number you have to multiply the denominator by to an outcome in the least typical denominator main point the numerator and also denominator of your an initial fraction by the number Repeat procedures 3 and 4 for each portion For addition equations, include the portion numerators because that subtraction equations, subtract the fraction numerators convert improper fractions to blended numbers minimize the fraction to lowest state
How to main point FractionsMultiply every numerators together Multiply all denominators together alleviate the result to lowest state
How to division FractionsRewrite the equation as in "Keep, Change, Flip" Keep the an initial fraction Change the division sign come multiplication Flip the second fraction by convert the top and bottom number Multiply all numerators with each other Multiply all denominators together minimize the result to lowest terms
There is a method to include or subtract fractions without finding the least usual denominator (LCD). This an approach involves overcome multiplication that the fractions. View the formulas below.
You may find that it is less complicated to usage these formulas than to execute the math to uncover the least usual denominator.
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The formulas for multiplying and also dividing fractions follow the same process as described above.
The formula for including fractions is:
To execute math to work on combined number fractions use our blended Numbers Calculator. This calculator can likewise simplify wrong fractions right into mixed numbers and also shows the job-related involved.
If you want to simplify an individual portion into lowest terms usage our leveling Fractions Calculator.
For one explanation of exactly how to variable numbers to uncover the greatest typical factor (GCF) see the Greatest usual Factor Calculator.
If you room simplifying huge fractions through hand you deserve to use the Long division with Remainders Calculator to find whole number and also remainder values.