Relate Fractions, Decimals, & Percents

Grade 6 Math · Unit 4 Interactive Practice Studio (6.RP.A.3.C · 6.AT.4) · Lesson 4-2
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1. Three Forms of One Value

Fractions, decimals, and percents are different ways to express the exact same part of a whole.

Las fracciones, decimales y porcentajes son tres formas de expresar exactamente la misma parte de un entero.

💡 Benchmark Trio:  ¾ = 0.75 = 75%  ·  ½ = 0.50 = 50%  ·  ¼ = 0.25 = 25%
Interactive Equivalence Meter Drag Slider or Pick Fraction
Fraction Bar (Whole = 1) 50% 0 0.25 0.50 0.75 1.00 100-Grid Equivalent
50% = 0.50 = 1/2
Fraction 1/2
Decimal 0.50
Percent 50%
📘 Reference: Common Benchmarks & Conversion Rules (Click to expand)
Fraction to Percent Scale denominator to 100 or divide numerator by denominator: ⅗ × 20/20 = 60/100 = 60%.
Decimal to Percent Multiply by 100 (shift decimal point 2 places right): 0.38 → 38%. 0.07 → 7%.
Percent to Fraction Put over 100 and simplify: 45% = 45/100 = 9/20.
Decimal to Fraction Read the place value: 0.6 = 6/10 = 3/5. 0.08 = 8/100 = 2/25.

2. Convert Any Fraction to a Decimal and Percent

Find the scale factor to reach 100, or divide the numerator by the denominator.

Encuentra el factor de escala para llegar a 100 o divide el numerador entre el denominador.

3. Complete the Equivalence Trio

Given any one representation (fraction, decimal, or percent), determine the missing two forms.

Dada una representación (fracción, decimal o porcentaje), completa las dos formas faltantes.

4. Real-World Applications & Error Detective

Solve multi-form comparison stories from the Reveal Math textbook and diagnose subtle student mistakes.

Resuelve problemas del libro Reveal Math y analiza errores comunes en las conversiones.

🔍 Strategy Tip: To compare different forms, convert all values to decimals or percents first!

5. Fractions, Decimals, & Percents Mastery Check

Answer all 10 questions to prove mastery across conversions, benchmarks, and ordering.

Responde las 10 preguntas para demostrar dominio de las conversiones y comparaciones.

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