What is 35/46 Divided By 3/9

Answer: 3546÷39\frac{35}{46}\div\frac{3}{9} = 10546\frac{105}{46}

Solving 3546÷39\frac{35}{46}\div\frac{3}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

3546÷39=3546×93\frac{35}{46} \div \frac{3}{9} = \frac{35}{46} \times \frac{9}{3}

  • Multiply the Numerators: 35×9=31535 \times 9 = 315
  • Multiply the Denominators: 46×3=13846 \times 3 = 138
  • Form the New Fraction: 3546×39=315138\frac{35}{46} \times \frac{3}{9} = \frac{315}{138}

Let's Simplify 315138\frac{315}{138}

  • Find the Greatest Common Divisor (GCD) of 315315 and 138138. The GCD of 315315 and 138138 is 33.
  • Divide both the numerator and the denominator by the GCD:315÷3138÷3=10546\frac{315 \div 3}{138 \div 3} = \frac{105}{46}

Answer 3546÷39=10546\frac{35}{46}\div\frac{3}{9} = \frac{105}{46}


The following animation demonstrates the divide-by,

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