Add, subtract, multiply, divide, simplify, and convert fractions in one place. Use the calculator below to work with proper fractions, improper fractions, mixed numbers, and decimal equivalents with instant results.
This page is built for quick checks and for learning the method behind the answer. You can enter two fractions, choose an operation, and see the simplified result in seconds. If you are working with mixed numbers, the tool converts them to improper fractions behind the scenes so the arithmetic stays accurate. That makes it useful for homework, recipe adjustments, craft measurements, and any situation where your numerator and denominator need to stay clear.
Type the first fraction and the second fraction, or switch to the decimal input when you need a quick decimal conversion. Use the whole-number boxes when your problem includes a mixed number such as 2 3/4.
Pick addition, subtraction, multiplication, division, simplification, decimal-to-fraction, or fraction-to-decimal. The calculator changes the visible inputs so you only see the fields you need.
The result area shows the simplified answer and the working steps. That makes it easier to spot a common denominator, check a reciprocal, and compare the final answer with your handwritten work.
If you are solving school math problems, always read the instruction line before you start. Some teachers want the answer in simplest form, some want a mixed number, and some want the decimal equivalent too. This calculator helps with all three. If you are using it for cooking or building, the mixed-number output is usually the easiest to read because measurements such as 1 1/2 inches or 2 3/8 cups appear in the same style you see in real life.
One useful habit is to estimate the answer before you click Calculate. If you add 1/2 and 1/3, you know the result should be more than 1/2 but less than 1. That quick estimate helps you catch input mistakes, such as typing the wrong denominator or choosing subtraction instead of addition.
A good fraction calculator does more than show one answer. It helps you understand what the answer means and how to use it in the form that fits your problem.
The main result is usually shown in simplest form. That means the numerator and denominator no longer share a factor greater than 1. If the result is 10/14, for example, the calculator reduces it to 5/7 by dividing both numbers by the greatest common divisor, which is 2. Simplest form matters because it is the cleanest and most accepted way to present an answer.
When the numerator is larger than the denominator, the answer is an improper fraction. Many math problems allow that form, but some ask for a mixed number instead. A mixed number splits the answer into a whole number plus a proper fraction, such as 9/4 becoming 2 1/4. This is often easier to read in measurement and construction work.
You may also see a decimal equivalent. This can be helpful when you need a quick comparison or want to enter the value into another tool. A fraction such as 3/8 equals 0.375, which can be useful when checking whether a result is close to a target measurement.
For addition and subtraction, the steps usually show how a common denominator is found. This matters because you cannot combine pieces of different sizes until they are written as equal-sized parts. If you add 1/4 and 1/6, the least common denominator is 12, so the fractions become 3/12 and 2/12 before the numerators are added.
For multiplication, the steps are shorter because the rule is direct: multiply numerator by numerator and denominator by denominator. For division, the steps show the reciprocal of the second fraction because dividing by a fraction is the same as multiplying by its reciprocal.
If you are checking schoolwork, compare each step instead of only the final line. You might have the right answer but use the wrong method, or you might use the right method and make a small arithmetic slip. The step view helps you catch both problems.
Best for homework, worksheets, and final answers that ask for simplest form. Example: 12/18 reduces to 2/3.
Best for measurement, recipes, and practical tasks. Example: 11/4 becomes 2 3/4.
Best for quick estimates, comparisons, and digital input. Example: 7/8 becomes 0.875.
If you want to know how to calculate fractions manually, these are the core rules the calculator is applying for you behind the scenes.
To add or subtract fractions, you first need a common denominator. The most efficient choice is usually the least common denominator, which is the smallest number both denominators divide into evenly.
Formula: a/b +/- c/d = (ad +/- bc) / bd
Example: 3/4 + 2/5 = (3 x 5 + 2 x 4) / (4 x 5) = (15 + 8) / 20 = 23/20 = 1 3/20. After you combine the numerators, always check whether the answer can be reduced further.
Multiplication is direct. Multiply the numerators, multiply the denominators, and simplify.
Formula: a/b x c/d = ac / bd
Division means multiply by the reciprocal of the second fraction.
Formula: a/b / c/d = a/b x d/c = ad / bc. Example: 2/3 / 5/6 = 2/3 x 6/5 = 12/15 = 4/5.
Imagine you are doubling a recipe that uses 2 1/4 cups of flour, but then you remove 3/8 cup because your pan is smaller than usual. You need to solve 2 1/4 - 3/8.
Your final answer is 1 7/8 cups. In decimal form, that is 1.875 cups. This kind of example shows why mixed number support and decimal equivalent support both matter in a practical calculator.
Find the greatest common divisor of the numerator and denominator, then divide both by that value. For 18/24, the greatest common divisor is 6, so 18/24 becomes 3/4.
Write the decimal as a fraction over a power of 10 and reduce. For 0.625, write 625/1000, then reduce by 125 to get 5/8.
Fractions show up far beyond the classroom. These examples can help you connect the arithmetic to real tasks you already do.
If a recipe calls for 3/4 cup of milk and you make a half batch, multiply 3/4 by 1/2. That gives 3/8 cup. A fraction calculator with steps is useful here because kitchen measurements often stay in fractional form instead of decimals.
Suppose one board is 5 1/2 inches long and you need to cut off 1 3/8 inches. The problem is 5 1/2 - 1 3/8. Convert, subtract, and simplify to get 4 1/8 inches. The mixed-number output is much easier to use on a tape measure than a decimal alone.
Students often want to confirm a result after doing the work by hand. If your worksheet says 7/9 + 2/3, you can use the calculator to verify the least common denominator, see 2/3 rewritten as 6/9, and confirm that the final answer is 13/9 or 1 4/9.
If you combine pieces that are 1 1/4 yards and 2 3/8 yards, the total is 3 5/8 yards. In projects where small errors can waste fabric, seeing the common denominator step can help you avoid a bad cut.
Fractions also appear in averages and rates. If a player made 5 of 8 shots, converting 5/8 to a decimal gives 0.625. Multiply by 100 if you want a percentage, which is 62.5%.
Before you solve, decide whether the answer should be bigger or smaller than 1. For example, 3/5 x 4/7 must be less than both fractions because you are multiplying by a value under 1. That quick estimate can catch a wrong reciprocal or a misplaced denominator.
One of the biggest gaps on many calculator pages is explaining the fraction types clearly. If you understand the form of your number, the method becomes much easier to remember.
A proper fraction has a numerator that is smaller than its denominator, such as 3/5 or 7/8. Because the top number is smaller, the value is less than 1 whole. Proper fractions are common when you describe part of a pizza, a cup, or a length.
An improper fraction has a numerator that is equal to or larger than its denominator, such as 9/4 or 6/6. These fractions are still correct and often easier to use during calculation because they keep the arithmetic in one line.
A mixed number combines a whole number with a proper fraction, such as 2 1/4. This format is easier for many people to read, especially in measurement. To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For 2 1/4, that becomes (2 x 4 + 1) / 4 = 9/4.
Fractions such as 1/2, 2/4, and 4/8 all represent the same value. They are called equivalent fractions. A calculator reduces the answer to simplest form so you get the cleanest version of the same number.
The key idea is that multiplying or dividing the numerator and denominator by the same number does not change the value. That is why 6/9 can become 2/3 after dividing both numbers by 3.
Another important idea is sign placement. A negative sign can sit in front of a fraction, on the numerator, or on the denominator, but all three forms represent the same negative value. In practice, people usually place the negative sign in front or on the numerator because it is easier to read.
Once you know whether you are looking at a proper fraction, improper fraction, or mixed number, you can choose the best display for your final answer. That helps you match classroom instructions, measurement conventions, and your own preference.
Explore more LiteCalc tools that pair well with fraction work when you need conversions, ratios, percentages, or broader math support.
Convert a fraction result into a percent or compare values with a descriptive percentage calculator.
Use a full-featured calculator when your fraction work is part of a larger equation or formula.
Compare fraction relationships and scale values when you move from part-to-whole thinking to ratios.
Helpful when recipe fractions or measurement fractions lead into volume calculations for containers.
Use another step-by-step math tool when your assignment mixes fractions with algebraic expressions.
Handy when fractional dimensions appear in floor plans, DIY layouts, or geometry assignments.
These answers cover the question keywords people ask most often about fractions and mixed numbers.
Find the least common denominator, rewrite both fractions so they share that denominator, add the numerators, and reduce the answer if needed. Example: 1/4 + 1/6 becomes 3/12 + 2/12 = 5/12.
Convert each mixed number to an improper fraction first. Then multiply numerator by numerator and denominator by denominator. If possible, simplify the result at the end.
Keep the first fraction, flip the second fraction to its reciprocal, then multiply across. For example, 3/4 divided by 2/5 becomes 3/4 x 5/2 = 15/8 = 1 7/8.
Find the greatest common divisor shared by the numerator and denominator, then divide both by that value. If the only shared factor is 1, the fraction is already in simplest form.
Divide the numerator by the denominator. The quotient becomes the whole number, and the remainder sits over the original denominator. Example: 17/5 becomes 3 2/5.
Write the decimal over a power of 10 and simplify. For instance, 0.75 becomes 75/100, then reduces to 3/4. Terminating decimals usually convert cleanly this way.
You need a common denominator when adding or subtracting because the pieces must be the same size before you combine them. Without a common denominator, you would be mixing unlike parts.
Yes. It can confirm your arithmetic, show a simplified answer, and help you compare each step with your own work. It is best used as a checking tool after you try the problem yourself.