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

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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 Estimate Cubic Yards for Any Landscaping or Concrete Project

By the Super Simple Digital Tools Team · Updated June 2026

Bulk materials live in a frustrating gap between how you measure and how you buy. You pace out a flower bed in feet and inches, but the garden center sells mulch by the cubic yard and the ready-mix plant quotes concrete the same way. Cubic yards are simply the standard unit for material that arrives by the truckload, because a cubic yard is a manageable, deliverable chunk: a cube three feet on every side. Getting comfortable with that single unit lets you plan any fill job confidently, whether you are dressing a garden, pouring a slab, or building a gravel drive.

Start with three measurements: length, width, and depth. Length and width are usually easy to take in feet. Depth is where most people slip, because it is often shallow and naturally measured in inches. A typical mulch bed runs 3 to 4 inches deep, a decorative gravel layer 1 to 2 inches, and a standard concrete slab 4 inches. Whatever you use, convert depth to feet before you calculate by dividing inches by 12. Keeping every dimension in the same unit is the single most important habit for getting a correct answer.

With consistent units, the conversion is one short formula: length times width times depth gives cubic feet, and dividing by 27 gives cubic yards. The number 27 is not arbitrary; it is how many cubic feet fit inside that three-by-three-by-three-foot cube. So a 20-by-15-foot patio poured 4 inches thick works out to 20 x 15 x 0.333, about 100 cubic feet, which divided by 27 is roughly 3.7 cubic yards. Awkwardly shaped yards are easy too: split them into rectangles, calculate each piece, and add the results together at the end.

Geometry tells you the exact volume of the hole, but it does not tell you how much to order, and those are different numbers. Ground is rarely perfectly level, material compacts as it settles, and some always spills during placement. A common rule is to add about 10 percent for landscaping materials and 10 to 15 percent for concrete, rounding concrete up to the nearest quarter yard since you usually cannot buy a precise fraction. Suppliers sometimes price by the ton rather than the yard, so remember most gravel weighs roughly 1.4 to 1.7 tons per cubic yard if you need to cross-check a quote.

Run a quick sanity check before you commit. Coverage figures are an easy gut test: one cubic yard spreads over about 162 square feet at 2 inches deep or 108 square feet at 3 inches, so if your project area is far off from what your yardage implies, recheck your depth conversion first. For shallow four-inch slabs there is a handy shortcut contractors use: divide the total square footage by 81 to get cubic yards directly. Once your inputs are clean and a margin is added, the order you place should match the space you measured.

  • Always convert depth from inches to feet (divide by 12) before multiplying; a forgotten conversion is the most common reason an estimate comes out wildly wrong.
  • Break irregular spaces into simple rectangles or circles, calculate each separately, and sum the cubic yards rather than trying to average odd shapes.
  • Add roughly 10 percent extra for soil, mulch, and gravel and 10 to 15 percent for concrete, then round concrete up to the nearest quarter yard.
  • If a supplier quotes by the ton, remember most gravel runs about 1.4 to 1.7 tons per cubic yard, so you can translate between their price and your measured volume.

Read the full guide →

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

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