Evaluate 2 * 5 / 3 * 12 / 11: animated lesson

1. 1. The problem
   Worked example

   2 * 5 / 3 * 12 / 11
2. 2. Step by step
   1. $$2 \times \frac{5}{3} = \frac{2 \times 5}{1 \times 3} = \frac{10}{3}$$
      Multiply numerators and multiply denominators
   2. $$\frac{10}{3} \times \frac{12}{11} = \frac{10 \times 12}{3 \times 11} = \frac{120}{33}$$
      Multiply numerators and multiply denominators
   3. $$\frac{120}{33} = \frac{40}{11}$$
      Simplify
   4. $$\frac{40}{11} = 3\tfrac{7}{11}$$
      Final answer in lowest terms
3. 3. The answer
   $$\frac{40}{11}$$

   2 * 5 / 3 * 12 / 11 = 40/11

4. 4. Check
   • ✓Decimal check: 40/11 ≈ 3.636363636
   • ✓As a mixed number: 3 7/11

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