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

User Jvperrin
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Answer:

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)

User Logica
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