What is 57/42 Divided By 1/8

Answer: 5742÷18\frac{57}{42}\div\frac{1}{8} = 767\frac{76}{7}

Solving 5742÷18\frac{57}{42}\div\frac{1}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

5742÷18=5742×81\frac{57}{42} \div \frac{1}{8} = \frac{57}{42} \times \frac{8}{1}

  • Multiply the Numerators: 57×8=45657 \times 8 = 456
  • Multiply the Denominators: 42×1=4242 \times 1 = 42
  • Form the New Fraction: 5742×18=45642\frac{57}{42} \times \frac{1}{8} = \frac{456}{42}

Let's Simplify 45642\frac{456}{42}

  • Find the Greatest Common Divisor (GCD) of 456456 and 4242. The GCD of 456456 and 4242 is 66.
  • Divide both the numerator and the denominator by the GCD:456÷642÷6=767\frac{456 \div 6}{42 \div 6} = \frac{76}{7}

Answer 5742÷18=767\frac{57}{42}\div\frac{1}{8} = \frac{76}{7}


The following animation demonstrates the divide-by,

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