using appropriate properties find 2/3x-5/7+7/3+2/3x(-2/7)
Answers
Answer:
(i)
3
−2
×
5
3
−
5
3
×
6
1
+
2
5
Using the commutative property, we can write the given expression as:
5
−3
×
3
2
−
5
3
×
6
1
+
2
5
Now, using the distributive property of multiplication over addition,
(
5
−3
)(
3
2
+
6
1
)+
2
5
⇒(
5
−3
)(
6
5
)+
2
5
=
2
−1
+
2
5
⇒
2
4
=2
Hence, using appropriate properties,
3
−2
×
5
3
−
5
3
×
6
1
+
2
5
=2
(ii)
5
2
×(
7
−3
)−
6
1
×
2
3
+
14
1
×
5
2
Using the commutative property, we can write the same expression as:
5
2
×(
7
−3
)+
14
1
×
5
2
−
6
1
×
2
3
Now, using the distributive property of multiplication over addition, we get:
5
2
×(
7
−3
+
14
1
)−
4
1
⇒
5
2
×(
14
−5
)−
4
1
⇒−
7
1
−
4
1
=
28
−11
Hence, using appropriate properties,
5
2
×(
7
−3
)−
6
1
×
2
3
+
14
1
×
5
2
=
28
−11
Step-by-step explanation:
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