What is 28/24 Divided By 9/5

Answer: 2824÷95\frac{28}{24}\div\frac{9}{5} = 3554\frac{35}{54}

Solving 2824÷95\frac{28}{24}\div\frac{9}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

2824÷95=2824×59\frac{28}{24} \div \frac{9}{5} = \frac{28}{24} \times \frac{5}{9}

  • Multiply the Numerators: 28×5=14028 \times 5 = 140
  • Multiply the Denominators: 24×9=21624 \times 9 = 216
  • Form the New Fraction: 2824×95=140216\frac{28}{24} \times \frac{9}{5} = \frac{140}{216}

Let's Simplify 140216\frac{140}{216}

  • Find the Greatest Common Divisor (GCD) of 140140 and 216216. The GCD of 140140 and 216216 is 44.
  • Divide both the numerator and the denominator by the GCD:140÷4216÷4=3554\frac{140 \div 4}{216 \div 4} = \frac{35}{54}

Answer 2824÷95=3554\frac{28}{24}\div\frac{9}{5} = \frac{35}{54}


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!