Question

What is 4/9÷2/3 show work please!

Answer 1

$\frac{4}{9}$ ÷ $\frac{2}{3}$

First, apply the rule: a ÷ $\frac{b}{c}$ = a × $\frac{c}{b}$
$\frac{4}{9}$ × $\frac{3}{2}$
Second, apply the rule: $\frac{a}{b}$ × $\frac{c}{d}$ = $\frac{ac}{bd}$
$\frac{4x3}{9x2}$
Third, multiply 4 × 3 to get 12, and 9 × 2 to get 18.
$\frac{12}{18}$
Fourth, find the GCF of 12 and 18.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
The GCF is 6.
Fifth, divide the numerator by the GCF. 
$12$ ÷ 6 = 2
Sixth, divide the denominator by the GCF. 
18 ÷ 6 = 3
Seventh, rewrite your fraction.
$\frac{2}{3}$

Answer as fraction: $\frac{2}{3}$
Answer as decimal: 0.6667

Answer 2

4/9*3/2=12/18 simply 2/3 the answer is 2/3