What is 99/42 Divided By 9/5

Answer: 9942÷95\frac{99}{42}\div\frac{9}{5} = 5542\frac{55}{42}

Solving 9942÷95\frac{99}{42}\div\frac{9}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

9942÷95=9942×59\frac{99}{42} \div \frac{9}{5} = \frac{99}{42} \times \frac{5}{9}

  • Multiply the Numerators: 99×5=49599 \times 5 = 495
  • Multiply the Denominators: 42×9=37842 \times 9 = 378
  • Form the New Fraction: 9942×95=495378\frac{99}{42} \times \frac{9}{5} = \frac{495}{378}

Let's Simplify 495378\frac{495}{378}

  • Find the Greatest Common Divisor (GCD) of 495495 and 378378. The GCD of 495495 and 378378 is 99.
  • Divide both the numerator and the denominator by the GCD:495÷9378÷9=5542\frac{495 \div 9}{378 \div 9} = \frac{55}{42}

Answer 9942÷95=5542\frac{99}{42}\div\frac{9}{5} = \frac{55}{42}


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!