Evaluate 6/11 + 6/10 * 7: animated lesson

1. 1. The problem
   Worked example

   6/11 + 6/10 * 7
2. 2. Step by step
   1. $$\frac{3}{5} \times 7 = \frac{3 \times 7}{5 \times 1} = \frac{21}{5}$$
      Multiply numerators and multiply denominators
   2. $$\frac{6}{11} + \frac{21}{5} = \frac{30}{55} + \frac{231}{55}$$
      Rewrite both fractions with the least common denominator
   3. $$\frac{30 + 231}{55} = \frac{261}{55}$$
      Add the numerators and keep the denominator
   4. $$\frac{261}{55} = 4\tfrac{41}{55}$$
      Final answer in lowest terms
3. 3. The answer
   $$\frac{261}{55}$$

   6/11 + 6/10 * 7 = 261/55

4. 4. Check
   • ✓Decimal check: 261/55 ≈ 4.745454545
   • ✓As a mixed number: 4 41/55

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