What is 74/24 Divided By 3/8

Answer: 7424÷38\frac{74}{24}\div\frac{3}{8} = 749\frac{74}{9}

Solving 7424÷38\frac{74}{24}\div\frac{3}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

7424÷38=7424×83\frac{74}{24} \div \frac{3}{8} = \frac{74}{24} \times \frac{8}{3}

  • Multiply the Numerators: 74×8=59274 \times 8 = 592
  • Multiply the Denominators: 24×3=7224 \times 3 = 72
  • Form the New Fraction: 7424×38=59272\frac{74}{24} \times \frac{3}{8} = \frac{592}{72}

Let's Simplify 59272\frac{592}{72}

  • Find the Greatest Common Divisor (GCD) of 592592 and 7272. The GCD of 592592 and 7272 is 88.
  • Divide both the numerator and the denominator by the GCD:592÷872÷8=749\frac{592 \div 8}{72 \div 8} = \frac{74}{9}

Answer 7424÷38=749\frac{74}{24}\div\frac{3}{8} = \frac{74}{9}


The following animation demonstrates the divide-by,

©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!