What is 11/60 Divided By 1/9

Answer: 1160÷19\frac{11}{60}\div\frac{1}{9} = 3320\frac{33}{20}

Solving 1160÷19\frac{11}{60}\div\frac{1}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1160÷19=1160×91\frac{11}{60} \div \frac{1}{9} = \frac{11}{60} \times \frac{9}{1}

  • Multiply the Numerators: 11×9=9911 \times 9 = 99
  • Multiply the Denominators: 60×1=6060 \times 1 = 60
  • Form the New Fraction: 1160×19=9960\frac{11}{60} \times \frac{1}{9} = \frac{99}{60}

Let's Simplify 9960\frac{99}{60}

  • Find the Greatest Common Divisor (GCD) of 9999 and 6060. The GCD of 9999 and 6060 is 33.
  • Divide both the numerator and the denominator by the GCD:99÷360÷3=3320\frac{99 \div 3}{60 \div 3} = \frac{33}{20}

Answer 1160÷19=3320\frac{11}{60}\div\frac{1}{9} = \frac{33}{20}


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!