What is 35/42 Divided By 6/7

Answer: 3542÷67\frac{35}{42}\div\frac{6}{7} = 3536\frac{35}{36}

Solving 3542÷67\frac{35}{42}\div\frac{6}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

3542÷67=3542×76\frac{35}{42} \div \frac{6}{7} = \frac{35}{42} \times \frac{7}{6}

  • Multiply the Numerators: 35×7=24535 \times 7 = 245
  • Multiply the Denominators: 42×6=25242 \times 6 = 252
  • Form the New Fraction: 3542×67=245252\frac{35}{42} \times \frac{6}{7} = \frac{245}{252}

Let's Simplify 245252\frac{245}{252}

  • Find the Greatest Common Divisor (GCD) of 245245 and 252252. The GCD of 245245 and 252252 is 77.
  • Divide both the numerator and the denominator by the GCD:245÷7252÷7=3536\frac{245 \div 7}{252 \div 7} = \frac{35}{36}

Answer 3542÷67=3536\frac{35}{42}\div\frac{6}{7} = \frac{35}{36}


The following animation demonstrates the divide-by,

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