What is 11/66 Divided By 6/5

Answer: 1166÷65\frac{11}{66}\div\frac{6}{5} = 536\frac{5}{36}

Solving 1166÷65\frac{11}{66}\div\frac{6}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

1166÷65=1166×56\frac{11}{66} \div \frac{6}{5} = \frac{11}{66} \times \frac{5}{6}

  • Multiply the Numerators: 11×5=5511 \times 5 = 55
  • Multiply the Denominators: 66×6=39666 \times 6 = 396
  • Form the New Fraction: 1166×65=55396\frac{11}{66} \times \frac{6}{5} = \frac{55}{396}

Let's Simplify 55396\frac{55}{396}

  • Find the Greatest Common Divisor (GCD) of 5555 and 396396. The GCD of 5555 and 396396 is 1111.
  • Divide both the numerator and the denominator by the GCD:55÷11396÷11=536\frac{55 \div 11}{396 \div 11} = \frac{5}{36}

Answer 1166÷65=536\frac{11}{66}\div\frac{6}{5} = \frac{5}{36}


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!