Question

divide.
6 ÷ (10/11) =
submit

Explanation:

Step1: Recall division rule for fractions

To divide by a fraction, multiply by its reciprocal. So, \(6\div\frac{10}{11}=6\times\frac{11}{10}\).

Step2: Multiply the integer and fraction

Multiply 6 (which can be written as \(\frac{6}{1}\)) with \(\frac{11}{10}\): \(\frac{6\times11}{1\times10}=\frac{66}{10}\).

Step3: Simplify the fraction

Simplify \(\frac{66}{10}\) by dividing numerator and denominator by 2: \(\frac{33}{5}\) or as a decimal \(6.6\). Also, as a mixed number, it is \(6\frac{3}{5}\). But in improper fraction form, \(\frac{33}{5}\) is simplified, or we can write it as \(\frac{66}{10}=\frac{33}{5}\).

Answer:

\(\frac{33}{5}\) (or \(6\frac{3}{5}\) or \(6.6\))