Math

Solve and Simplify Ratios

Built by Kevin Glover · @gloverbuilds · Verified formula

Simplify ratios, find missing values, and scale proportions. Solve A:B = C:? problems instantly.

📅 Updated April 2026 ✅ Formula verified 📖 4 min read 🆓 Free · No sign-up

In this article

Understanding Ratios
Scaling Ratios

Trabajando con Razones

Una razón 3:5 significa 3 partes de uno por cada 5 del otro. Para escalar: mantén la proporción. 3:5 para 40 unidades: 3/(3+5)×40=15 y 5/(3+5)×40=25. Verificación: 15:25 simplifica a 3:5. Las razones aparecen en: recetas (2:1 harina:azúcar), mezclas (3:1 concreto:agua), finanzas (deuda-ingreso), y mapas (1:50,000).

Simplificando

Divide ambos números por su MCD. 12:8 → ÷4 → 3:2. Para comparar razones: convierte a decimales. 3:5=0.6. 4:7=0.571. 3:5 es mayor. Las proporciones cruzadas verifican igualdad: a/b=c/d si ad=bc. 3/5=6/10 porque 3×10=5×6=30.

⚡ CalcWolf Insight

Ratio questions dominate standardized tests (SAT, GRE, ACT). The most common mistake: confusing "ratio of A to B" with "fraction A/B." A 3:2 ratio means 3 parts A and 2 parts B out of 5 total parts — so A is 3/5 of the total, not 3/2.

Frequently asked questions

¿Cómo simplifico una razón?▾

Divide ambos números por su máximo común divisor. 15:25 → ÷5 → 3:5. 24:36 → ÷12 → 2:3.

¿Cómo escalo una razón?▾

Multiplica ambos por el mismo factor. 2:3 escalado ×5 = 10:15. Para llenar un total: 2:3 para 50 unidades: 2/5×50=20 y 3/5×50=30.

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Kevin Glover · @gloverbuilds

Founder, CalcWolf · GLVTS · Blickr

All formulas sourced from primary references — IRS publications, peer-reviewed research, and official standards. Results are tested against independent reference calculators before publishing. Rates and brackets updated when official sources change. Editorial policy →