What is 57/42 Divided By 3/7

Answer: 5742÷37\frac{57}{42}\div\frac{3}{7} = 196\frac{19}{6}

Solving 5742÷37\frac{57}{42}\div\frac{3}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

5742÷37=5742×73\frac{57}{42} \div \frac{3}{7} = \frac{57}{42} \times \frac{7}{3}

  • Multiply the Numerators: 57×7=39957 \times 7 = 399
  • Multiply the Denominators: 42×3=12642 \times 3 = 126
  • Form the New Fraction: 5742×37=399126\frac{57}{42} \times \frac{3}{7} = \frac{399}{126}

Let's Simplify 399126\frac{399}{126}

  • Find the Greatest Common Divisor (GCD) of 399399 and 126126. The GCD of 399399 and 126126 is 2121.
  • Divide both the numerator and the denominator by the GCD:399÷21126÷21=196\frac{399 \div 21}{126 \div 21} = \frac{19}{6}

Answer 5742÷37=196\frac{57}{42}\div\frac{3}{7} = \frac{19}{6}


The following animation demonstrates the divide-by,

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