using appropriate properties find (2/3)×(-5/7)+(7/3)+(2/3)×(-2/7)
Answers
Given:
(2/3)×(-5/7)+(7/3)+(2/3)×(-2/7)
To Find:
Solve (2/3)×(-5/7)+(7/3)+(2/3)×(-2/7) using appropriate properties
Solution:
We will use the distributive property to solve the given problem
According to the distributive property
a(b+c) = ab + ac
Now,
(2/3)×(-5/7)+(7/3)+(2/3)×(-2/7)
We will take 2/3 as common
=2/3((-5/7-2/7))+7/3
=(2/3)((-5-2)/7) +7/3 [When denominator is same then numerator gets
add]
= 2/3(-7/7)+7/3 [-7/7 = -1]
=2/3(-1)+7/3
=-2/3 + 7/3 [When denominator is same then numerator gets
add]
= (-2+7)/3
= 5/3
Hence, the answer is 5/3.
Answer:
5/3
Step-by-step explanation:
According to the distributive property
= (2/3 × -5/7) + (2/3 × -2/7) + 7/3
= 2/3(-5/7 - 2/7) + 7/3
= 2/3(-7/7) + 7/3
= -2/3 + 7/3
=5/3
i hope this would help you!