Question

2. Simplify
i) 4/9 ÷ 5/12​

Answer 1

Answer:

We have,

=(4/9)×(12/−5) [∵ reciprocal of (−5/12) is (12/−5)]

The product of two rational numbers= (product of their numerator)/(product of their denominator)

=

(9×−5)

(4×12)

On simplifying,

=

(3×−5)

(4×4)

=(−16/15)

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Answer 2

Answer:

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(4/9) ÷ (-5/12) We have, = (4/9) × (12/-5)

[∵ reciprocal of (-5/12) is (12/-5)]

The product of two rational numbers = (product of their numerator)/ (product of their denominator)

= (4×12) / (9×-5)

On simplifying,

= (4×4) / (3×-5)

= (-16/15)