Type the fractions.
Each slot is three boxes — whole (optional), numerator, denominator. Type 2, 3, 4 and you've entered 2¾. Empty slots count as 0, and the arrow keys hop between top and bottom.
2 · 3/4 → 2¾
01
The instrument.
Two modes, zero waiting. Type fractions into the slots and the screen solves live — the answer, every equivalent form, and beneath it the complete written work: the LCD, the cross-products, the gcd, the mixed-number rewrite. Flip to SIMPLIFY and any fraction reduces to lowest terms with Euclid's algorithm on show.
FRACTION A
FRACTION B
FRACTION
WHOLE OPTIONAL · e.g. 4 8/12
TRY
THE WORK — STEP BY STEP
LIVE
SWS-FC/01·INTEGER-EXACT CORE·4 OPERATIONS·2 MODES·0 TRACKING
02
How to use it.
Ninety seconds to full fluency — the notation is just boxes and a big answer. The tool does the showing-off for you.
Pick the operation.
+ − × ÷ sits between the slots. Addition and subtraction switch to the LCD method; multiplication goes straight across; division runs keep–change–flip. The tool follows the method you were taught.
÷ → KEEP · CHANGE · FLIP
No equals needed.
The screen solves live as you type. The big line is the answer in its friendliest form — and the work beneath it is the full written proof, updating keystroke by keystroke.
TYPE → SOLVED · ENTER COMMITS
Read it every way.
Below the big result: the improper fraction, the mixed number, the decimal — exact, with any repeating block overlined — and the percentage. One calculation, every representation.
5/6 · 0.83̄ · ≈ 83.33%
Simplify anything.
Flip to the SIMPLIFY tab: any fraction or mixed number reduces to lowest terms, with Euclid's algorithm shown line by line — the same remainders you'd write in the margin.
46/64 → 23/32
Negatives included.
The ± chip flips a whole slot's sign — and it applies to the entire mixed number, so −2 1/3 means −(2 + 1/3), which is −7/3, exactly as the steps will tell you.
± on −2 1/3 → −7/3
studywithstem:worked-example
ONE CALCULATION
2¾ ÷ 1½
├── read→ 11/4 ÷ 3/2
├── keep11/4 stays
├── change÷ becomes ×
├── flip3/2 becomes 2/3
├── multiply11×2 / 4×3 = 22/12
├── reducegcd(22,12)=2 → 11/6
└── rewrite1 5/6 = 1.8333…
RESULT 1 5/6 · DECIMAL EXACT · 0 Rounding
03
Frequently asked.
The questions that keep coming back about fractions — answered once, in full.
Q1 How do I add fractions with different denominators?
Find the least common denominator (LCD), rewrite both fractions over it, then add the numerators. For 1/2 + 1/3: LCD(2, 3) = 6, so 3/6 + 2/6 = 5/6. The calculator performs and displays these exact steps under the screen, live as you type.
Q2 How do I subtract fractions?
Exactly like addition — match the denominators first using the LCD, then subtract the numerators. 7/8 − 1/4 becomes 7/8 − 2/8 = 5/8. Try the 7/8 − 1/4 example chip on the tool and follow the work.
Q3 How do I multiply fractions?
Multiply straight across — numerators with numerators, denominators with denominators. No common denominator needed. Then simplify: 2/3 × 3/4 = 6/12, which reduces to 1/2 by dividing top and bottom by their gcd.
Q4 How do I divide fractions?
Keep, change, flip: keep the first fraction, change ÷ to ×, flip the second fraction to its reciprocal, then multiply. 3/4 ÷ 5/6 = 3/4 × 6/5 = 18/20 = 9/10. The tool writes out all of it, every time.
Q5 How do I simplify a fraction to lowest terms?
Divide the numerator and denominator by their greatest common divisor. For 46/64, Euclid's algorithm gives gcd = 2, so 46÷2 / 64÷2 = 23/32, which shares no factor besides 1. The SIMPLIFY tab does this for any fraction or mixed number — and shows the algorithm, line by line.
Q6 What's the difference between proper, improper and mixed fractions?
A proper fraction has a numerator smaller than its denominator (3/4 — value below 1). An improper fraction has a numerator greater than or equal to its denominator (5/4 — value of 1 or more). A mixed number is a whole number plus a fraction (1 1/4) — just another way of writing the improper form. The tool displays your result as both.
Q7 What does the line over some decimals mean?
It marks a repeating decimal: 0.16 with a bar over the 6 means 0.1666…, forever. Fractions whose denominator (in lowest terms) has prime factors other than 2 and 5 always repeat. The calculator detects the repeating block by long division — no rounding — so 1/6 displays exactly as 0.16 with a bar, not 0.166667.
Q8 Is it free, and does my input leave the page?
Completely free — no sign-up, no locked features. All arithmetic runs locally in your browser; nothing is recorded or transmitted, and the page keeps working offline once it has loaded.