Evaluate (19+1)/5/5: animated lesson

1. 1. The problem
   Worked example

   (19+1)/5/5
2. 2. Steps, part 1
   1. $$19 + 1 = 20$$
      Add the whole numbers
   2. $$20 \div 5 = 20 \times \frac{1}{5}$$
      Dividing by a fraction means multiplying by its reciprocal
   3. $$20 \times \frac{1}{5} = \frac{20 \times 1}{1 \times 5} = \frac{20}{5}$$
      Multiply numerators and multiply denominators
   4. $$\frac{20}{5} = 4$$
      Simplify
3. 3. Steps, part 2
   1. $$4 \div 5 = 4 \times \frac{1}{5}$$
      Dividing by a fraction means multiplying by its reciprocal
   2. $$4 \times \frac{1}{5} = \frac{4 \times 1}{1 \times 5} = \frac{4}{5}$$
      Multiply numerators and multiply denominators
   3. $$\frac{4}{5}$$
      Final answer in lowest terms
4. 4. The answer
   $$\frac{4}{5}$$

   (19+1)/5/5 = 4/5

5. 5. Check
   • ✓Decimal check: 4/5 ≈ 0.8

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