thee reciprocal of 6/7 x -5/9
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Step-by-step explanation:
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Answered by
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Answer:
Let numerator = x
Denominator = x + 4
fraction = \frac{x}{x + 4}fraction=
x+4
x
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When 1 is subtracted from both, fraction becomes 1/2
So,
\begin{gathered} \frac{x - 1}{x + 4 - 1} = \frac{1}{2} \\ \\ \frac{x - 1}{ x+ 3} = \frac{1}{2} \\ \\ \\ 2(x -1) = x + 3 \\ \\ 2x - 2 = x + 3 \\ \\ 2x - x = 3 + 2 \\ \\ x = 5 \\ \\ \\ \\ fraction \: = \frac{x}{x + 4} = \frac{5}{5 + 4} = \frac{5}{9} \end{gathered}
x+4−1
x−1
=
2
1
x+3
x−1
=
2
1
2(x−1)=x+3
2x−2=x+3
2x−x=3+2
x=5
fraction=
x+4
x
=
5+4
5
=
9
5
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