What is 18/24 Divided By 7/9

Answer: 1824÷79\frac{18}{24}\div\frac{7}{9} = 2728\frac{27}{28}

Solving 1824÷79\frac{18}{24}\div\frac{7}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1824÷79=1824×97\frac{18}{24} \div \frac{7}{9} = \frac{18}{24} \times \frac{9}{7}

  • Multiply the Numerators: 18×9=16218 \times 9 = 162
  • Multiply the Denominators: 24×7=16824 \times 7 = 168
  • Form the New Fraction: 1824×79=162168\frac{18}{24} \times \frac{7}{9} = \frac{162}{168}

Let's Simplify 162168\frac{162}{168}

  • Find the Greatest Common Divisor (GCD) of 162162 and 168168. The GCD of 162162 and 168168 is 66.
  • Divide both the numerator and the denominator by the GCD:162÷6168÷6=2728\frac{162 \div 6}{168 \div 6} = \frac{27}{28}

Answer 1824÷79=2728\frac{18}{24}\div\frac{7}{9} = \frac{27}{28}


The following animation demonstrates the divide-by,

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