Fractions Calculator

Add, subtract, multiply, or divide any two fractions and get the answer as a reduced fraction and decimal. Free, instant, no signup.

Formula: a/b + c/d = (ad + bc) / bd (then reduce by GCD)

How to use the Fractions Calculator

  1. Enter your values. Fill in the fields with your numbers.
  2. Calculate. Press Calculate to run the fractions calculator.
  3. Use the result. Copy the result or try a related tool next.

Why use our Fractions Calculator

Instant results. Enter your figures and the fractions calculator returns an answer in seconds.
Free & private. Runs in your browser — no signup, and nothing is sent to a server.
Accurate. Uses standard formulas so you can rely on the numbers.

Free to use — premium coming soon

FREE
  • Unlimited calculations
  • Instant results
  • No signup
PREMIUM
  • Remove ads
  • Save & compare scenarios
  • Export results

About the Fractions Calculator

The Fractions Calculator takes two fractions and a single operation (add, subtract, multiply, or divide) and returns the answer reduced to its lowest terms, shown as both an improper fraction and a mixed number where it applies. You enter a numerator and denominator for each value, pick the sign, and it handles the arithmetic that trips people up by hand: finding a common denominator, combining numerators, and cancelling common factors. It works with proper fractions, improper fractions, and mixed numbers, so 1 1/2 plus 2/3 is just as easy as 7/8 minus 1/4.

Reach for this tool whenever a measurement, recipe, or schoolwork problem refuses to land on a whole number. Cooks scaling a recipe up or down multiply fractional cups and teaspoons; a 3/4 cup at two-thirds of the batch becomes 1/2 cup. Woodworkers and DIYers add board widths and saw kerfs measured in eighths and sixteenths of an inch. Students checking homework can confirm an answer and, just as usefully, see the simplified form they were expected to write. Anywhere unlike denominators appear, the calculator removes the bookkeeping and the risk of an arithmetic slip.

Under the hood it follows the standard formulas. Addition uses a/b + c/d = (ad + bc) / bd and subtraction uses a/b - c/d = (ad - bc) / bd; multiplication is numerator times numerator over denominator times denominator; division flips the second fraction and multiplies by its reciprocal. The raw result is then reduced by dividing the top and bottom by their greatest common divisor (GCD), and any improper fraction is rewritten as a whole number plus a remainder fraction. Mixed numbers are converted to improper fractions before the math, then converted back.

Because fractions are exact ratios of integers, this calculator works with whole-number arithmetic rather than decimals, so there is no rounding error: 1/3 stays 1/3 instead of becoming 0.333. The only limits are the size of the integers involved and division by zero, which is undefined and rejected. Everything runs in your browser, so the numbers you type are never sent to a server or stored. You can clear the form or close the tab and nothing is kept.

Frequently asked questions

How does the calculator add fractions with different denominators?

It rewrites both fractions over a common denominator, adds the numerators, then reduces the result. Using the formula a/b + c/d = (ad + bc) / bd, for example 1/2 + 1/3 becomes (3 + 2) / 6 = 5/6.

Can I enter mixed numbers like 2 1/4?

Yes. Mixed numbers are converted to improper fractions before the calculation (2 1/4 becomes 9/4) and the answer is offered back as a mixed number whenever the result is larger than one whole.

Does it always simplify the answer to lowest terms?

Yes. After computing the result it divides the numerator and denominator by their greatest common divisor, so 6/12 is shown as 1/2. You get the fully reduced form automatically.

How does dividing fractions actually work here?

Dividing by a fraction is the same as multiplying by its reciprocal, so the tool flips the second fraction and multiplies. For instance 1/2 divided by 3/4 becomes 1/2 times 4/3 = 4/6, which reduces to 2/3.

Is the result exact or rounded?

It is exact. The calculator works with whole-number numerators and denominators rather than decimals, so values like 1/3 are never rounded off and no precision is lost.

From our blog

How to Read an Amortization Schedule (and Use It to Pay Less Interest)

By the Super Simple Digital Tools Team · Updated June 2026

An amortization schedule is just a row-by-row map of your loan, with one line for every payment from the first to the last. Each line typically shows the payment number, the fixed payment amount, how much of it is interest, how much is principal, and the balance left afterward. The first thing most people notice is that the monthly payment stays the same while the interest and principal columns quietly trade places over time. Learning to read those columns is what turns a loan from a mystery into something you can plan around and even shorten.

Start at the top of the schedule. On a typical mortgage, the very first payment might send the large majority of your money to interest and only a small slice to principal. That is not a trick by the lender; it is simply because interest is charged on the balance you owe, and at the beginning you owe the most. Trace the interest column downward and you will see it shrink every single month, while the principal column climbs by exactly the same amount, because the total payment never changes.

The balance column is where the story becomes useful. Follow it down and you can find the exact payment where you cross milestones: when you have repaid a quarter of the principal, when you reach the halfway point of the balance, and how many years that actually takes. On long loans the halfway point in balance often arrives much later than the halfway point in time, which is the single clearest argument for either choosing a shorter term or making extra principal payments.

Extra payments are the lever the schedule reveals most clearly. Because each dollar of extra principal permanently removes the future interest that would have accrued on it, even modest additions early in the loan ripple through every later row. Add a recurring extra amount, or a single lump sum, and the balance line drops faster, the payoff date moves earlier, and the total interest at the bottom falls. Recalculating the schedule with and without extra payments shows the savings in concrete dollars rather than vague promises.

Finally, use the schedule to compare scenarios before you commit. Changing the interest rate, the term, or the loan amount produces a completely different curve, and seeing two schedules side by side makes the trade-offs obvious: a lower rate flattens the interest column, a shorter term steepens the principal column, and a smaller loan shortens the whole thing. Whether you are shopping for a mortgage, weighing a refinance, or deciding how aggressively to pay down a car loan, reading the schedule first puts you in control of the math instead of being surprised by it.

  • Compare a 15-year and a 30-year term for the same loan amount to see the total-interest difference before you choose.
  • Add even a small fixed extra amount to each payment and recalculate; the early extra principal saves the most because interest compounds away.
  • Check the balance column for the payment where you cross the halfway point, it often arrives later in the loan than you expect.
  • Remember the schedule shows only principal and interest, so budget separately for taxes, insurance, and any lender fees.

Read the full guide →

Tool by the Super Simple Digital Tools Team. Reviewed by our editorial team. Free to use, no signup required.

Related tools