What is 35/66 Divided By 8/9

Answer: 3566÷89\frac{35}{66}\div\frac{8}{9} = 105176\frac{105}{176}

Solving 3566÷89\frac{35}{66}\div\frac{8}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

3566÷89=3566×98\frac{35}{66} \div \frac{8}{9} = \frac{35}{66} \times \frac{9}{8}

  • Multiply the Numerators: 35×9=31535 \times 9 = 315
  • Multiply the Denominators: 66×8=52866 \times 8 = 528
  • Form the New Fraction: 3566×89=315528\frac{35}{66} \times \frac{8}{9} = \frac{315}{528}

Let's Simplify 315528\frac{315}{528}

  • Find the Greatest Common Divisor (GCD) of 315315 and 528528. The GCD of 315315 and 528528 is 33.
  • Divide both the numerator and the denominator by the GCD:315÷3528÷3=105176\frac{315 \div 3}{528 \div 3} = \frac{105}{176}

Answer 3566÷89=105176\frac{35}{66}\div\frac{8}{9} = \frac{105}{176}


The following animation demonstrates the divide-by,

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