When p = 0.125 the equation -3p + ( 1/8 ) = ( - 1/4 ) is true.
The given equation is:
-3p + ( 1/8 ) = ( - 1/4 )
On the left-hand side of the equation, the denominator of the two terms is not the same.
So, the LCM of 1 and 8 is 8.
Therefore,
- 3p × ( 8 / 8 ) + ( 1 / 8 ) × ( 1 / 1 ) = ( - 1 /4 )
- 24p / 8 + 1 / 8 = - 1 / 4
( - 24p + 1 ) / 8 = - 1 / 4
Now multiplying each side of the equation by 8.
We get,
[ ( - 24p + 1 ) / 8 ] × 8 = ( - 1 / 4 ) × 8
- 24p + 1 = - 8 / 4
- 24p + 1 = - 2
Subtracting 1 from each side of the equation,
- 24p + 1 - 1 = - 2 - 1
-24p = - 3
Now, divide each side of the equation by 24.
- 24p / 24 = - 3 / 24
- p = ( - 1 / 8 )
Multiplying by - 1 on each side of the equation,
( - p ) × ( - 1 ) = ( - 1 / 8 ) × ( - 1 )
p = 1 / 8
p = 0.125
The value of p = 0.125 will make the equation true.
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