\(-\frac{5}{6}\) ÷ \(\frac{9}{10}\)
First, apply the rule (easiest way if you have learned it): \(a\) ÷ \(\frac{b}{c} = a\) × \(\frac{c}{b}\)
\(- \frac{5}{6}\) × \(\frac{10}{9}\)
Second, apply the last rule: \(\frac{a}{b}\) × \(\frac{c}{d} = \frac{ac}{bd}\)
\(- \frac{5*10}{6*9}\)
Third, multiply 5 × 10 to get 50.
\(- \frac{50}{6*9}\)
Fourth, multiply 6 × 9 to get 54.
\(-\frac{50}{54}\)
Fifth, find the GCF of 50 and 54.
The GCF should be 2.
Sixth, divide the numerator by the GCF.
\(50\) ÷ \(2 = 25\)
Seventh, divide the denominator by the GCF.
\(54\) ÷ \(2 = 27\)
Eighth, now put 25 and 27 together to get the simplified fraction.
\(- \frac{25}{27}\)
Answer as fraction: \(-\frac{25}{27}\)
Answer as decimal: 0.9259
