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FractionsArithmeticElementary schoolabout 0:44

Calculate (2/3)^2: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 4/9 ≈ 0.44444444.

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.3 MB) · Captions (WebVTT)

Steps on screen

  1. 1. The problem
    Worked example
    (23)2\left({\frac{2}{3}}\right)^{2}
  2. 2. Step by step
    1. (23)2\left({\frac{2}{3}}\right)^{2}
      Read the expression
    2. (23)2=49\left({\frac{2}{3}}\right)^{2} = \frac{4}{9}
      Simplify exactly
    3. (23)2=49≈0.44444444\left({\frac{2}{3}}\right)^{2} = \frac{4}{9} \approx 0.44444444
      Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
  3. 3. The answer
    49≈0.44444444\frac{4}{9} \approx 0.44444444

    (2/3)^2 = 4/9 ≈ 0.44444444

  4. 4. Check
    • Decimal value: 0.444444444444

Transcript

The problem. Here is the problem: (2 over 3) squared. Evaluate a numerical expression.

Step by step. Read the expression. Simplify exactly. Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).

The answer. So the answer is 4 over 9 approximately 0.44444444. Operations are applied in the standard order: parentheses, exponents, multiplication and division from left to right, then addition and subtraction from left to right.

Check. Decimal value: 0.444444444444.

About fractions

Add, subtract, multiply and divide fractions, finding common denominators and simplifying the result.

Calculate (2/3)^2: Animated Fractions Lesson, Step by Step