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Multiplication of Integers

For the fract...

Question

For the fractions on the left, if the numerator is decreased by $1$ and the denominator is increased by $2$ , match them with their resultant forms.

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Q. If the numerator of a certain fraction is increased by 2 and the denominator increased by 1, then the resulting fraction equals

\frac{1}{2} .

If however the numerator is increased by 1 and the denominator decreased by 2, then the resulting fraction equal

\frac{3}{5}

Find the fraction.

Q. In a fraction, if the numerator is decreased by

1

and the denominator is increased by

1

, then the resulting fraction is

\frac{1}{4}

. Instead if the numerator is increased by

1

and the denominator is decreased by

1

, then the resulting fraction is

\frac{2}{3}

. Find the absolute difference of the numerator and the denominator of the fraction.

Q. If the numerator and the denominator of a fraction is decreased by 2, then the resulting fraction is

\frac{1}{2}

. If in case the numerator is increased by 2 and the denominator by 1, then the result is 1. The sum of the numerator and the denominator is ___.

Q. If the numerator is decreased by 1 and denominator is multiplied by 2, then the resulting fraction is

\frac{1}{5}

.If the numerator is increased by 12 and denominator is multiplied by 6, then the resulting fraction is

\frac{1}{2}

. What is the difference between the numerator and the denominator?

\frac{p}{q}

be a fraction expressed in the lowest form. If the numerator is increased by 2 and the denominator is increased by 1, the resulting fraction equals

\frac{1}{2}

. If, however, the numerator is increased by 1 and the denominator is decreased by 2, the resulting fraction equals

\frac{3}{5}

(p + q)

p, q

are natural number )

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