What is 18/24 Divided By 3/8

Answer: 1824÷38\frac{18}{24}\div\frac{3}{8} = 21\frac{2}{1}

Solving 1824÷38\frac{18}{24}\div\frac{3}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

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

  • Multiply the Numerators: 18×8=14418 \times 8 = 144
  • Multiply the Denominators: 24×3=7224 \times 3 = 72
  • Form the New Fraction: 1824×38=14472\frac{18}{24} \times \frac{3}{8} = \frac{144}{72}

Let's Simplify 14472\frac{144}{72}

  • Find the Greatest Common Divisor (GCD) of 144144 and 7272. The GCD of 144144 and 7272 is 7272.
  • Divide both the numerator and the denominator by the GCD:144÷7272÷72=21\frac{144 \div 72}{72 \div 72} = \frac{2}{1}

Answer 1824÷38=21\frac{18}{24}\div\frac{3}{8} = \frac{2}{1}


The following animation demonstrates the divide-by,

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