Question

What is -5/6 divided by 9/10? A. -27/25 B. -4/3 C. -3/4 D. -25/27

Answer 1

$-\frac{5}{6}$ ÷ $\frac{9}{10}$

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