What is 57/66 Divided By 4/7

Answer: 5766÷47\frac{57}{66}\div\frac{4}{7} = 13388\frac{133}{88}

Solving 5766÷47\frac{57}{66}\div\frac{4}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

5766÷47=5766×74\frac{57}{66} \div \frac{4}{7} = \frac{57}{66} \times \frac{7}{4}

  • Multiply the Numerators: 57×7=39957 \times 7 = 399
  • Multiply the Denominators: 66×4=26466 \times 4 = 264
  • Form the New Fraction: 5766×47=399264\frac{57}{66} \times \frac{4}{7} = \frac{399}{264}

Let's Simplify 399264\frac{399}{264}

  • Find the Greatest Common Divisor (GCD) of 399399 and 264264. The GCD of 399399 and 264264 is 33.
  • Divide both the numerator and the denominator by the GCD:399÷3264÷3=13388\frac{399 \div 3}{264 \div 3} = \frac{133}{88}

Answer 5766÷47=13388\frac{57}{66}\div\frac{4}{7} = \frac{133}{88}


The following animation demonstrates the divide-by,

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