What is 75/66 Divided By 3/8

Answer: 7566÷38\frac{75}{66}\div\frac{3}{8} = 10033\frac{100}{33}

Solving 7566÷38\frac{75}{66}\div\frac{3}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

7566÷38=7566×83\frac{75}{66} \div \frac{3}{8} = \frac{75}{66} \times \frac{8}{3}

  • Multiply the Numerators: 75×8=60075 \times 8 = 600
  • Multiply the Denominators: 66×3=19866 \times 3 = 198
  • Form the New Fraction: 7566×38=600198\frac{75}{66} \times \frac{3}{8} = \frac{600}{198}

Let's Simplify 600198\frac{600}{198}

  • Find the Greatest Common Divisor (GCD) of 600600 and 198198. The GCD of 600600 and 198198 is 66.
  • Divide both the numerator and the denominator by the GCD:600÷6198÷6=10033\frac{600 \div 6}{198 \div 6} = \frac{100}{33}

Answer 7566÷38=10033\frac{75}{66}\div\frac{3}{8} = \frac{100}{33}


The following animation demonstrates the divide-by,

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