Evaluate (2/5)^3 ➗ (2/5)^4

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Conversion a mixed number 3 3/4 to a improper fraction: 3 3/4 = 3 3/4 = 3 · 4 + 3/4 = 12 + 3/4 = 15/4 To find new numerator: a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/4 = 12/4 b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15 c) Write a previous answer (new numerator 15) over the denominator 4. Three and three quarters is fifteen quarters Conversion a mixed number 2 2/5 to a improper fraction: 2 2/5 = 2 2/5 = 2 · 5 + 2/5 = 10 + 2/5 = 12/5 To find new numerator: a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/5 = 10/5 b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12 c) Write a previous answer (new numerator 12) over the denominator 5. Two and two fifths is twelve fifths Multiple: 15/4 * 12/5 = 15 · 12/4 · 5 = 180/20 = 9 · 20/1 · 20 = 9 Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the next intermediate step, , cancel by a common factor of 20 gives 9/1. In words - fifteen quarters multiplied by twelve fifths = nine.