Evaluate 5 - (4 / 12) * 1 + 3: animated lesson

1. 1. The problem
   Worked example

   5 - (4 / 12) * 1 + 3
2. 2. Steps, part 1
   1. $$\frac{1}{3} \times 1 = \frac{1 \times 1}{3 \times 1} = \frac{1}{3}$$
      Multiply numerators and multiply denominators
   2. $$5 - \frac{1}{3} = \frac{15}{3} - \frac{1}{3}$$
      Rewrite both fractions with the least common denominator
   3. $$\frac{15 - 1}{3} = \frac{14}{3}$$
      Subtract the numerators and keep the denominator
   4. $$\frac{14}{3} + 3 = \frac{14}{3} + \frac{9}{3}$$
      Rewrite both fractions with the least common denominator
3. 3. Steps, part 2
   1. $$\frac{14 + 9}{3} = \frac{23}{3}$$
      Add the numerators and keep the denominator
   2. $$\frac{23}{3} = 7\tfrac{2}{3}$$
      Final answer in lowest terms
4. 4. The answer
   $$\frac{23}{3}$$

   5 - (4 / 12) * 1 + 3 = 23/3

5. 5. Check
   • ✓Decimal check: 23/3 ≈ 7.666666667
   • ✓As a mixed number: 7 2/3

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