AdditionWorksheets For This SkillMore SkillsFree Online Tests Trial

To add two fractions, first find out if their denominators are the same. If the denominators are the same, just add the numerators. The sum of the numerators is the numerator of the sum of the two fractions. The denominator is the same. Reduce the answer to its lowest terms if necessary.

If the denominators are different, you need to determine a common denominator for them and change each fraction to its equivalent fraction with that common denominator. Now just add the new numerators. The sum of the new numerators is the numerator of the sum of the two fractions. The denominator is the common denominator. Reduce the answer to its lowest terms if necessary.

Example: what is the sum of and ?
We know that the LCM of 24 and 30 is 120, so we convert the two fractions to their equivalent fractions with 120 being the common denominator:


Then we just add the numerators: 25 + 28 = 53, so

To add mixed numbers, add the whole numbers and then add the fractions. After that, combine the two sums into a mixed number. In other words, the sum of the whole numbers is the whole number of the answer, and the sum of the fractions is the fraction of the answer. If the sum of the fractions is an improper fraction, convert it to a mixed number, and add its whole number to the sum of the original whole numbers.

Example: what is the sum of and ?
We know that the LCM of 24 and 30 is 120, so we convert the two fractions to their equivalent fractions with 120 being the common denominator:


Now the problem becomes the following:

Then we just add the whole numbers and the numerators:
2 + 6 = 8 and 65 + 116 = 181 .
Since 181 is greater than the denominator 120, we divide 181 by 120. The quotient is 1 and the remainder is 61. So we add 1 to the sum of the whole numbers and end up with a whole number 9. The remainder 61 is the new numerator. In other words,

In this example, the fraction in the answer is an improper fraction. It is better to change the improper fraction to a mixed number.

SubtractionWorksheets For This SkillMore SkillsFree Online Tests Trial

Subtracting fractions is similar to adding fractions. Insteading of adding numerators, you subtract numerators when you subtract fractions. Sure, you need to make sure the two fractions should have a common denominator before subtracting their numerators. Reduce the answer to its lowest terms if necessary.

Example: what is the difference of and ?
We know that the LCM of 24 and 30 is 120, so we convert the two fractions to their equivalent fractions with 120 being the common denominator:


Then we subtract the numerators: 28 - 25 = 3, so

It is not hard to see that the fraction in the answer can be reduced:

Subtracting mixed numbers is similar to adding mixed numbers, too. Instead of adding, subtract the whole numbers and then subtract the fractions. After that, combine the two differences into a mixed number. But you need to be really careful in case the fraction in the minuend is smaller than the fraction in the subtrahend. In this case, you need to borrow 1 from the whole number of the minuend and add the common denominator to the numerator of the minuend before you do the subtraction.

Example: what is the difference of and ?
We know that the LCM of 24 and 30 is 120, so we convert the two fractions to their equivalent fractions with 120 being the common denominator:


Since 25 is less than 28, we need to borrow 1 from the whole number 5 and add 120 to the numerator 25 to make it 145. And then we subtract the whole numbers and numerators:
4 - 2 = 2 and 145 - 28 = 117

It is not hard to see that the fraction in the answer can be reduced:

Instructions for This AppletFree Online Tests Trial

  1. Click a radio button according to the type of your problem.
  2. Click the check box labeled "Allow Mixed/Whole Numbers" only if you want to add or subtract mixed numbers.
  3. Click the first button to print worksheets; click the second button for the applet to ask you a question; click the third button to input your own question.
  4. Hit the space bar when you finish entering a number and want to enter a new one.
  5. Click the "Help" button to see each step when solving your problem.
  6. Type your answer to questions asked by the applet when solving your problem. Just click the "Help" button if you do not want to answer those questions.
  7. If you want to type something on the question bar or the help panel after losing focus on them, click the question bar or the help panel before typing.
  8. Click the "Start Over" button to start over.

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