Question

the numerator of a fraction is 4 less than the denominator.if 1 is added to both its numerator and denominator,it becomes 1/2.find the fraction.​

Answer 1

Answer:

no see no de no de no de no r

Answer 2

Answer:

The fraction is 3/7.

Solution:

Let the Denominator be x

∴ Numerator = x – 4

When 1 is added to both its numerator and denominator:

Given,

\begin{gathered}\begin{array} { c } { \frac { x - 4 + 1 } { x + 1 } = \frac { 1 } { 2 } } \\\\ { \frac { x - 3 } { x + 1 } = \frac { 1 } { 2 } } \\\\ { 2 ( x - 3 ) = 1 ( x + 1 ) } \\\\ { 2 x - 6 = x + 1 } \\\\ { 2 x - x = 1 + 6 } \\\\ { x = 7 } \end{array}\end{gathered}

x+1

x−4+1

=

2

1

x+1

x−3

=

2

1

2(x−3)=1(x+1)

2x−6=x+1

2x−x=1+6

x=7

∴ The fraction

= \frac { x - 4 } { x } = \frac { 7 - 4 } { 7 } = \frac { 3 } { 7 }=

x

x−4

=

7

7−4

=

7

3

Thus the fraction is 3/7.

Step-by-step explanation:

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