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Published: 2026-07-06Last updated: 2026-08-19By Davide Coronese

Expression Solver with Step-by-Step

Solve any math expression with fractions, powers, roots and brackets — exact simplified fractions, repeating decimals 0.(3), and full PEMDAS steps. Like risolviespressioni.it, with extras.

PEMDAS orderVerified source
1) Brackets () [] {} 2) Exponents ^ 3) × ÷ / : 4) + − | Fraction: a/b + c/d = (ad+bc)/bd simplified by GCD

Brackets override everything. Inside each bracket, exponents first, then ×÷ left-to-right, then +−. Fractions are combined on a common denominator (b·d) and divided by GCD. Repeating decimals use (non-repeating+period − non-repeating)/(9…0…). Example: 2.0(6) = (206−20)/90 = 186/90 = 31/15.

Guide to Using the Expression Calculator

Solve any math expression with fractions, powers, roots and brackets — exact simplified fractions, repeating decimals 0.(3), and full PEMDAS steps. Like risolviespressioni.it, with extras.

Examples

  • 1/2 + 1/3 × 3/4 = 1/2 + 1/4 = 3/4 (fractions stay exact: common denominator 12).
  • (1/2 + 3/4) × 2^3 − sqrt(16) = 5/4 × 8 − 4 = 10 − 4 = 6 (brackets first, then power, then ×).
  • 2/3 + 0.(6) = 2/3 + 2/3 = 4/3 = 1 1/3 ≈ 1.333… (repeating decimal becomes fraction).
  • 12 $ 18 = 6 (GCD) and 12 & 18 = 36 (LCM) via $ and &.

⚠ Common mistakes

  • Writing 2+3/4+5 without brackets for 'all over' — write (2+3)/(4+5) otherwise only 3/4 is divided.
  • Mixing comma and dot: 4,0(6) and 4.0(6) both work, but 4,0,6 does not.
  • Forgetting GCD: 2/4 + 1/4 is 3/4, not 3/8 — results are auto-simplified.

Frequently Asked Questions (FAQ) (4)

How to write fractions?

As a/b, e.g. 2/3. For all over use (2+3)/(4+5). Negative fractions: (-2/3)^2.

How to write repeating decimals?

Put the repetend in parentheses after the decimal: 0.(3)=1/3, 2.0(6)=37/15, 0.16(6)=1/6.

How to write powers and roots?

Power with ^ or **: 2^3 or (1/2)^2. Root via sqrt(): sqrt(16)=4, or 8^(1/3)=2.

What do $ and & mean?

$ is GCD (MCD), & is LCM (mcm). Example: 12 $ 18 = 6, 12 & 18 = 36.

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