What is 22/17 Divided By 2/7

Answer: 2217÷27\frac{22}{17}\div\frac{2}{7} = 7717\frac{77}{17}

Solving 2217÷27\frac{22}{17}\div\frac{2}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

2217÷27=2217×72\frac{22}{17} \div \frac{2}{7} = \frac{22}{17} \times \frac{7}{2}

  • Multiply the Numerators: 22×7=15422 \times 7 = 154
  • Multiply the Denominators: 17×2=3417 \times 2 = 34
  • Form the New Fraction: 2217×27=15434\frac{22}{17} \times \frac{2}{7} = \frac{154}{34}

Let's Simplify 15434\frac{154}{34}

  • Find the Greatest Common Divisor (GCD) of 154154 and 3434. The GCD of 154154 and 3434 is 22.
  • Divide both the numerator and the denominator by the GCD:154÷234÷2=7717\frac{154 \div 2}{34 \div 2} = \frac{77}{17}

Answer 2217÷27=7717\frac{22}{17}\div\frac{2}{7} = \frac{77}{17}


The following animation demonstrates the divide-by,

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