What is 48/66 Divided By 9/5

Answer: 4866÷95\frac{48}{66}\div\frac{9}{5} = 4099\frac{40}{99}

Solving 4866÷95\frac{48}{66}\div\frac{9}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

4866÷95=4866×59\frac{48}{66} \div \frac{9}{5} = \frac{48}{66} \times \frac{5}{9}

  • Multiply the Numerators: 48×5=24048 \times 5 = 240
  • Multiply the Denominators: 66×9=59466 \times 9 = 594
  • Form the New Fraction: 4866×95=240594\frac{48}{66} \times \frac{9}{5} = \frac{240}{594}

Let's Simplify 240594\frac{240}{594}

  • Find the Greatest Common Divisor (GCD) of 240240 and 594594. The GCD of 240240 and 594594 is 66.
  • Divide both the numerator and the denominator by the GCD:240÷6594÷6=4099\frac{240 \div 6}{594 \div 6} = \frac{40}{99}

Answer 4866÷95=4099\frac{48}{66}\div\frac{9}{5} = \frac{40}{99}


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!