What is 76/24 Divided By 8/3

Answer: 7624÷83\frac{76}{24}\div\frac{8}{3} = 1916\frac{19}{16}

Solving 7624÷83\frac{76}{24}\div\frac{8}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

7624÷83=7624×38\frac{76}{24} \div \frac{8}{3} = \frac{76}{24} \times \frac{3}{8}

  • Multiply the Numerators: 76×3=22876 \times 3 = 228
  • Multiply the Denominators: 24×8=19224 \times 8 = 192
  • Form the New Fraction: 7624×83=228192\frac{76}{24} \times \frac{8}{3} = \frac{228}{192}

Let's Simplify 228192\frac{228}{192}

  • Find the Greatest Common Divisor (GCD) of 228228 and 192192. The GCD of 228228 and 192192 is 1212.
  • Divide both the numerator and the denominator by the GCD:228÷12192÷12=1916\frac{228 \div 12}{192 \div 12} = \frac{19}{16}

Answer 7624÷83=1916\frac{76}{24}\div\frac{8}{3} = \frac{19}{16}


The following animation demonstrates the divide-by,

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