What is 26/42 Divided By 1/9

Answer: 2642÷19\frac{26}{42}\div\frac{1}{9} = 397\frac{39}{7}

Solving 2642÷19\frac{26}{42}\div\frac{1}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

2642÷19=2642×91\frac{26}{42} \div \frac{1}{9} = \frac{26}{42} \times \frac{9}{1}

  • Multiply the Numerators: 26×9=23426 \times 9 = 234
  • Multiply the Denominators: 42×1=4242 \times 1 = 42
  • Form the New Fraction: 2642×19=23442\frac{26}{42} \times \frac{1}{9} = \frac{234}{42}

Let's Simplify 23442\frac{234}{42}

  • Find the Greatest Common Divisor (GCD) of 234234 and 4242. The GCD of 234234 and 4242 is 66.
  • Divide both the numerator and the denominator by the GCD:234÷642÷6=397\frac{234 \div 6}{42 \div 6} = \frac{39}{7}

Answer 2642÷19=397\frac{26}{42}\div\frac{1}{9} = \frac{39}{7}


The following animation demonstrates the divide-by,

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