Evaluate 20 + 6 / 7 * 12: animated lesson

1. 1. The problem
   Worked example

   20 + 6 / 7 * 12
2. 2. Step by step
   1. $$\frac{6}{7} \times 12 = \frac{6 \times 12}{7 \times 1} = \frac{72}{7}$$
      Multiply numerators and multiply denominators
   2. $$20 + \frac{72}{7} = \frac{140}{7} + \frac{72}{7}$$
      Rewrite both fractions with the least common denominator
   3. $$\frac{140 + 72}{7} = \frac{212}{7}$$
      Add the numerators and keep the denominator
   4. $$\frac{212}{7} = 30\tfrac{2}{7}$$
      Final answer in lowest terms
3. 3. The answer
   $$\frac{212}{7}$$

   20 + 6 / 7 * 12 = 212/7

4. 4. Check
   • ✓Decimal check: 212/7 ≈ 30.28571429
   • ✓As a mixed number: 30 2/7

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