Add Fractions, Subtract Fractions, Multiply Fractions, or Divide Fractions. Find your answer in the simplest form with this Online Fraction Calculator.


First Fraction / (+, -, x, ÷)Second Fraction / Add Fractions Subtract Fractions Multiply Fractions Divide Fractions To reduce a fraction to the simplest form, try our Simplify Fractions Calculator


Example: For adding the fractions 1/3 and 1/5, you must first modify the fractions so that the denominators are the same. For these two fractions, the result would be 5/15 and 3/15.

You are watching: 8/15 in simplest form

The second step is to add the numerators of the two fractions. To find the numerator of the answer, 5 + 3 = 8. The sum is 8/15

Example: For subtracting the fractions 10/15 and 1/5, you must first modify the fractions so that the denominators are the same. For these two fractions, the result would be 10/15 and 3/15. The second step is to subtract the numerators of the two fractions to find the numerator of the answer,10 - 3 = 7.The difference is 7/15


Example 1: Multiply the fractions 10/15 and 1/5. First, you multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 10 x 1 and 15 x 5 The answer is 10/75, then reduced to the simplest form is 2/15.

Example 2: Multiply the fractions 2/3 and 2/3. First, you multiply the numerator of the first fraction by the numerator of the second fraction to find the numerator of the answer. You also multiply the denominator of the first fraction by the denominator of the second fraction to find the denominator of the answer. 2 x 2 and 3 x 3 The answer is 4/9, this is already in it"s simplest form. You don"t need to reduce this fraction.


How do you divide fractions?


Example 1: For dividing the fractions 10/15 and 1/5, you first find the reciprocal of the second fraction. The reciprocal of 1/5 is 5/1 . You then multiply the first fraction by the reciprocal of the second fraction.

10/15 ÷ 1/5is the same as 10/15 x 5/1

The answer is 50/15 , reduced the simplest form is 10/3 .

Example 2: For dividing the fractions 1/5 and 15/4, you first find the reciprocal of the second fraction. The reciprocal of 15/4 is 4/15 . You then multiply the first fraction by the reciprocal of the second fraction.

1/5 ÷ 15/4is the same as 1/5 x 4/15

The answer is 4/75 . This answer is already in it"s simplest form.


How to use the fraction calculator?


To use the calculator, you simply insert the appropriate numbers in the open box fields, click on the operation you want to use. (Add, Subtract, Multiply, or Divide) Then, you hit the calculate button.The answer will automatically be presented as a reduced fraction. If you"re using a whole number with a fraction, simply insert the whole number as a fraction. As an example, if you multiply the fraction 1/2 by 10. First, you enter the fraction in the first two boxes, then enter 10 as a fraction, 10/1 .


Random Fraction Facts


The term "Fraction" is derived from the Latin word, "Fractus", which means broken.

Simple Fractions can also be referred to as "vulgar", or "common" fractions.

The division sign, also sometimes referred to as an "Obelus" is a line with a dot above, and a dot below. If you were to put numbers in the place of the dots, it would look like a fraction. Which, should make sense.

Historical evidence suggests that Egyptians started using fractions about 4,000 years ago.

There is a legend that one of Pythagoras" realized that the square root of 2 can"t be expressed as a fraction. The other followers were outraged by the truth, and drowned him.The Vinculum is the line that separates the numerator and the denominator. In medical terms, the vinculum is the band of tissue that connects the flexor tendon to the bone of a finger or toe.

Some of the first uses for fractions, or how they may have originally been conceived, was through taxation. Dividing up lands and taxing the different sections differently. Ugh, taxes.

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A proper fraction has a numerator that is less than the denominator. An improper fraction has a numerator that is greater than the denominator.