Question

Simplify: 42

÷ (12 of 3 – 18 + 3) – 27

÷ (12 – 3)​

Answer 1

Answer:

Given:

Fraction become 1/3 when 2 is subtracted from numerator

Fraction become 1/2 when 1 is substrated from denominator

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Need to Find

fraction=?

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Solution :

Let the numerator be a

denominator be b

Thus the fraction is $\bold{\purple{\frac{a}{b}}}$

As Given,

$\frac{a - 2}{b} = \frac{1}{3}$

$\frac{b}{a−2} = \frac{3}{1}$

By cross multiplying we get,

$\\implies \: 3a - 6 = b \: - - - - i⟹3a−6=b−−−−i$

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Also,

$\frac{a}{b - 1} = \frac{1}{2}$

$By cross multiplying,$

$2a = b - 1 - - - - ii2a=b−1−−−−ii$

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Now by subtracting ii from i we get,

3a-6-2a= b -(b-1)

$⟹ a - 6 = b-b +1$

$⟹ a = 1 + 6$

$⟹ \purple{\boxed{\bold{a= 7}}}$

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Putting a = 7 in equation ii,

2 × 7 = b-1

$⟹ b = 14 +1$

$⟹ \purple{\boxed{\bold{b= 15}}} </p><p>$

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Thus the fraction is $\bold{\red{\large{\boxed{\boxed{\frac{7}{15}}}}}} </p><p>$

Answer 2

Answer:

Thus the fraction will be 7 /15

Step-by-step explanation:

hope i help you❤❤