solve
2/3 X-5/7+ 1/2 X 5/7 and state the property used
Answers
Answer:
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Step-by-step explanation:
The equation is in the form
\dfrac{2}{5}
5
2
× \dfrac{-3}{7}
7
−3
- \dfrac{1}{14}
14
1
- \dfrac{3}{7}
7
3
× \dfrac{3}{5}
5
3
The expression is solve using property of rational number
From commutative property
= \dfrac{2}{5}
5
2
× \dfrac{-3}{7}
7
−3
- \dfrac{3}{7}
7
3
× \dfrac{3}{5}
5
3
- \dfrac{1}{14}
14
1
From Distributive method
= \dfrac{-3}{7}
7
−3
( \dfrac{2}{5}
5
2
+ \dfrac{3}{5}
5
3
) - \dfrac{1}{14}
14
1
= \dfrac{-3}{7}
7
−3
( \dfrac{2+3}{5}
5
2+3
) - \dfrac{1}{14}
14
1
= \dfrac{-3}{7}
7
−3
( \dfrac{5}{5}
5
5
) - \dfrac{1}{14}
14
1
= \dfrac{-3}{7}
7
−3
× 1 - \dfrac{1}{14}
14
1
= \dfrac{-3}{7}
7
−3
- \dfrac{1}{14}
14
1
Or, Taking L C M
= \dfrac{-6 - 1}{14}
14
−6−1
= \dfrac{-7}{14}
14
−7
= \dfrac{-1}{2}
2
−1
So, The solution of expression = \dfrac{-1}{2}
2
−1