Question

What is the product of `1/5, 5/6,` and `4/9`?

Answer 1

`2/27`

Explanation:

Product of given rational numbers `1/5, 5/6, \ \ &\ \ 4/9`

`=1/5\times 5/6\times 4/9`

`=1/\cancel5\times \cancel5/6\times 4/9`

`=1/6\times 4/9`

`=1/3\times 2/9`

`=\frac{1\cdot 2}{3\cdot 9}`

`=2/27`

Answer 2

`=2/27`

Explanation:

A product is the answer to a multiplication.

To multiply fractions:

• Change to improper fractions if there are mixed numbers.
• cancel any common factors in numerators and denominators
• multiply straight across

`1/5xx5/6xx4/9`

`=1/cancel5xxcancel5/cancel6_3xxcancel4^2/9`

`=2/27`

Answer 3

`2/27`

Explanation:

The key realization is that the word product tells us to multiply.

`1/5*5/6*4/9`

When we multiply fractions, we multiply straight across. We now have

`20/270`

We can cancel out common factors in the numerator and denominator to get

`cancel20^2/cancel270^27=2/27`

Hope this helps!