Question

What is 4/9÷2/3 show work please!

Answer 1

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

Answer 2

`(4)/(9)` ÷
`(2)/(3)`

First, apply the rule: a ÷
`(b)/(c)` = a ×
`(c)/(b)`

`(4)/(9)` ×
`(3)/(2)`
Second, apply the rule:
`(a)/(b)` ×
`(c)/(d)` =
`(ac)/(bd)`

`(4x3)/(9x2)`
Third, multiply 4 × 3 to get 12, and 9 × 2 to get 18.

`(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.

`(2)/(3)`

Answer as fraction:
`(2)/(3)`
Answer as decimal: 0.6667