What is 74/24 Divided By 8/5

Answer: 7424÷85\frac{74}{24}\div\frac{8}{5} = 18596\frac{185}{96}

Solving 7424÷85\frac{74}{24}\div\frac{8}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

7424÷85=7424×58\frac{74}{24} \div \frac{8}{5} = \frac{74}{24} \times \frac{5}{8}

  • Multiply the Numerators: 74×5=37074 \times 5 = 370
  • Multiply the Denominators: 24×8=19224 \times 8 = 192
  • Form the New Fraction: 7424×85=370192\frac{74}{24} \times \frac{8}{5} = \frac{370}{192}

Let's Simplify 370192\frac{370}{192}

  • Find the Greatest Common Divisor (GCD) of 370370 and 192192. The GCD of 370370 and 192192 is 22.
  • Divide both the numerator and the denominator by the GCD:370÷2192÷2=18596\frac{370 \div 2}{192 \div 2} = \frac{185}{96}

Answer 7424÷85=18596\frac{74}{24}\div\frac{8}{5} = \frac{185}{96}


The following animation demonstrates the divide-by,

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