What is 12/43 Divided By 9/4

Answer: 1243÷94\frac{12}{43}\div\frac{9}{4} = 16129\frac{16}{129}

Solving 1243÷94\frac{12}{43}\div\frac{9}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1243÷94=1243×49\frac{12}{43} \div \frac{9}{4} = \frac{12}{43} \times \frac{4}{9}

  • Multiply the Numerators: 12×4=4812 \times 4 = 48
  • Multiply the Denominators: 43×9=38743 \times 9 = 387
  • Form the New Fraction: 1243×94=48387\frac{12}{43} \times \frac{9}{4} = \frac{48}{387}

Let's Simplify 48387\frac{48}{387}

  • Find the Greatest Common Divisor (GCD) of 4848 and 387387. The GCD of 4848 and 387387 is 33.
  • Divide both the numerator and the denominator by the GCD:48÷3387÷3=16129\frac{48 \div 3}{387 \div 3} = \frac{16}{129}

Answer 1243÷94=16129\frac{12}{43}\div\frac{9}{4} = \frac{16}{129}


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!