Use this fraction calculator for adding, subtracting, multiplying and dividing fractions. Answers are fractions in lowest terms or mixed numbers in reduced form. Show Input proper or improper fractions, select the math sign and click Calculate. This is a fraction calculator with steps shown in the solution. If you have negative fractions insert a minus sign before the numerator. So if one of your fractions is -6/7, insert -6 in the numerator and 7 in the denominator. Sometimes math problems include the word "of," as in What is 1/3 of 3/8? Of means you should multiply so you need to solve 1/3 × 3/8. To do math with mixed numbers (whole numbers and fractions) use the Mixed Numbers Calculator. Math on Fractions with Unlike DenominatorsThere are 2 cases where you need to know if your fractions have different denominators:
How to Add or Subtract Fractions
How to Multiply Fractions
How to Divide Fractions
Fraction FormulasThere is a way to add or subtract fractions without finding the least common denominator (LCD). This method involves cross multiplication of the fractions. See the formulas below. You may find that it is easier to use these formulas than to do the math to find the least common denominator. The formulas for multiplying and dividing fractions follow the same process as described above. Adding FractionsThe formula for adding fractions is: \( \dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad + bc}{bd} \) Example steps: \( \dfrac{2}{6} + \dfrac{1}{4} = \dfrac{(2\times4) + (6\times1)}{6\times4} \) \( = \dfrac{14}{24} = \dfrac {7}{12} \) The formula for subtracting fractions is: \( \dfrac{a}{b} - \dfrac{c}{d} = \dfrac{ad - bc}{bd} \) Example steps: \( \dfrac{2}{6} - \dfrac{1}{4} = \dfrac{(2\times4) - (6\times1)}{6\times4} \) \( = \dfrac{2}{24} = \dfrac {1}{12} \) Multiplying FractionsThe formula for multiplying fractions is: \( \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd} \) Example steps: \( \dfrac{2}{6} \times \dfrac{1}{4} = \dfrac{2\times1}{6\times4} \) \( = \dfrac{2}{24} = \dfrac {1}{12} \) Dividing FractionsThe formula for dividing fractions is: \( \dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{ad}{bc} \) Example steps: \( \dfrac{2}{6} \div \dfrac{1}{4} = \dfrac{2\times4}{6\times1} \) \( = \dfrac{8}{6} = \dfrac {4}{3} = 1 \dfrac{1}{3} \) Related CalculatorsTo perform math operations on mixed number fractions use our Mixed Numbers Calculator. This calculator can also simplify improper fractions into mixed numbers and shows the work involved. If you want to simplify an individual fraction into lowest terms use our Simplify Fractions Calculator. For an explanation of how to factor numbers to find the greatest common factor (GCF) see the Greatest Common Factor Calculator. If you are simplifying large fractions by hand you can use the Long Division with Remainders Calculator to find whole number and remainder values. Notes
Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts. Mixed numerals (mixed numbers or fractions) keep one space between the integer and fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2. Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3. Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
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What is 1 and 2/3 as a fraction?
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