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

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Answer 1 · 2018-07-28T05:21:30

#2/27#

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 · 2018-07-28T06:27:16

#=2/27#

A product is the answer to a multiplication.

To multiply fractions:

#1/5xx5/6xx4/9#

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

#=2/27#

Answer 3 · 2018-07-29T05:44:17

#2/27#

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!