the numerator of a fraction is 4 less than its denominator. if 1 is added to both the numerator and denominator, the fraction becomes 1/2.Finf the fraction.
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Answer:
3/7
Step-by-step explanation:
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{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}
∴ The fraction
= \frac { x - 4 } { x } = \frac { 7 - 4 } { 7 } = \frac { 3 } { 7 }
Thus the fraction is 3/7.
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