Question

Identify the property and Simplify -8/9 * ( 1/-5 + -7/11) a. Write the property b. Simplify and find the value

Answer 1

a. Distributive property of multiplication over addition

b.
`(368)/(495)`

Explanation:

Given:
`(-8)/(9)\left [ (1)/(-5)+\left ( (-7)/(11) \right ) \right ]`

To find: the property and the value

Solution:

a.

Property used:

Distributive property of multiplication over addition:
`a(b+c)=ab+ac`

b.

Take
`a=(-8)/(9)\,,\,b=(1)/(-5)\,,\,c=(-7)/(11)`

`(-8)/(9)\left [ (1)/(-5)+\left ( (-7)/(11) \right ) \right ]\\=(-8)/(9)\left ((1)/(-5) \right )+\left ( (-8)/(9) \right )\left ( (-7)/(11) \right )\\=(-8)/(-45)+(56)/(99)\\=(8)/(45)+(56)/(99)\\=(88+280)/(495)\\=(368)/(495)`