Evaluate 7/9/3+2: animated lesson

1. 1. The problem
   Worked example

   7/9/3+2
2. 2. Steps, part 1
   1. $$\frac{7}{9} \div 3 = \frac{7}{9} \times \frac{1}{3}$$
      Dividing by a fraction means multiplying by its reciprocal
   2. $$\frac{7}{9} \times \frac{1}{3} = \frac{7 \times 1}{9 \times 3} = \frac{7}{27}$$
      Multiply numerators and multiply denominators
   3. $$\frac{7}{27} + 2 = \frac{7}{27} + \frac{54}{27}$$
      Rewrite both fractions with the least common denominator
   4. $$\frac{7 + 54}{27} = \frac{61}{27}$$
      Add the numerators and keep the denominator
3. 3. Steps, part 2
   1. $$\frac{61}{27} = 2\tfrac{7}{27}$$
      Final answer in lowest terms
4. 4. The answer
   $$\frac{61}{27}$$

   7/9/3+2 = 61/27

5. 5. Check
   • ✓Decimal check: 61/27 ≈ 2.259259259
   • ✓As a mixed number: 2 7/27

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