What is 43/42 Divided By 1/9

Answer: 4342÷19\frac{43}{42}\div\frac{1}{9} = 12914\frac{129}{14}

Solving 4342÷19\frac{43}{42}\div\frac{1}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

4342÷19=4342×91\frac{43}{42} \div \frac{1}{9} = \frac{43}{42} \times \frac{9}{1}

  • Multiply the Numerators: 43×9=38743 \times 9 = 387
  • Multiply the Denominators: 42×1=4242 \times 1 = 42
  • Form the New Fraction: 4342×19=38742\frac{43}{42} \times \frac{1}{9} = \frac{387}{42}

Let's Simplify 38742\frac{387}{42}

  • Find the Greatest Common Divisor (GCD) of 387387 and 4242. The GCD of 387387 and 4242 is 33.
  • Divide both the numerator and the denominator by the GCD:387÷342÷3=12914\frac{387 \div 3}{42 \div 3} = \frac{129}{14}

Answer 4342÷19=12914\frac{43}{42}\div\frac{1}{9} = \frac{129}{14}


The following animation demonstrates the divide-by,

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