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Sophie [7]
3 years ago
7

Verify a ÷ b ≠ b ÷ a , if a = −3/4 and b = 4/5

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Given:

a=-\dfrac{3}{4}

b=\dfrac{4}{5}

To verify:

a\div b\neq b\div a

Solution:

We have,

a=-\dfrac{3}{4}

b=\dfrac{4}{5}

Now,

a\div b=\dfrac{a}{b}

a\div b=\dfrac{-\dfrac{3}{4}}{\dfrac{4}{5}}

a\div b=-\dfrac{3}{4}\times \dfrac{5}{4}

a\div b=-\dfrac{15}{16}               ...(i)

And,

b\div a=\dfrac{b}{a}

b\div a=\dfrac{\dfrac{4}{5}}{-\dfrac{3}{4}}

b\div a=\dfrac{4}{5}\times (-\dfrac{4}{3})

b\div a=-\dfrac{16}{15}               ...(ii)

From (i) and (ii), it is clear that

a\div b\neq b\div a

Hence verified.

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