Evaluate 16 / 9 / 8 + 9: animated lesson

1. 1. The problem
   Worked example

   16 / 9 / 8 + 9
2. 2. Steps, part 1
   1. $$\frac{16}{9} \div 8 = \frac{16}{9} \times \frac{1}{8}$$
      Dividing by a fraction means multiplying by its reciprocal
   2. $$\frac{16}{9} \times \frac{1}{8} = \frac{16 \times 1}{9 \times 8} = \frac{16}{72}$$
      Multiply numerators and multiply denominators
   3. $$\frac{16}{72} = \frac{2}{9}$$
      Simplify
   4. $$\frac{2}{9} + 9 = \frac{2}{9} + \frac{81}{9}$$
      Rewrite both fractions with the least common denominator
3. 3. Steps, part 2
   1. $$\frac{2 + 81}{9} = \frac{83}{9}$$
      Add the numerators and keep the denominator
   2. $$\frac{83}{9} = 9\tfrac{2}{9}$$
      Final answer in lowest terms
4. 4. The answer
   $$\frac{83}{9}$$

   16 / 9 / 8 + 9 = 83/9

5. 5. Check
   • ✓Decimal check: 83/9 ≈ 9.222222222
   • ✓As a mixed number: 9 2/9

Evaluate expressions with brackets, powers, multiplication, division, addition and subtraction in the right order.

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