What is 18/24 Divided By 8/3

Answer: 1824÷83\frac{18}{24}\div\frac{8}{3} = 932\frac{9}{32}

Solving 1824÷83\frac{18}{24}\div\frac{8}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

1824÷83=1824×38\frac{18}{24} \div \frac{8}{3} = \frac{18}{24} \times \frac{3}{8}

  • Multiply the Numerators: 18×3=5418 \times 3 = 54
  • Multiply the Denominators: 24×8=19224 \times 8 = 192
  • Form the New Fraction: 1824×83=54192\frac{18}{24} \times \frac{8}{3} = \frac{54}{192}

Let's Simplify 54192\frac{54}{192}

  • Find the Greatest Common Divisor (GCD) of 5454 and 192192. The GCD of 5454 and 192192 is 66.
  • Divide both the numerator and the denominator by the GCD:54÷6192÷6=932\frac{54 \div 6}{192 \div 6} = \frac{9}{32}

Answer 1824÷83=932\frac{18}{24}\div\frac{8}{3} = \frac{9}{32}


The following animation demonstrates the divide-by,

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