Each question Sandra answers incorrectly changes her overall score by – 3/4 points. Sandra's
overall score was -4 1/2 points, and then she answered the last question incorrectly. What
was Sandra's final score?
Sandra's initial score was -4 1/2 points. Each question she answers incorrectly changes her score by -3/4 points. If she answered the last question incorrectly, her score would be reduced by -3/4 points.
To find Sandra's final score, we need to subtract -3/4 points from -4 1/2 points:
-4 1/2 points - (-3/4 points)
Since subtracting a negative number is the same as adding a positive number, we can rewrite the subtraction as addition:
-4 1/2 points + 3/4 points
To add these mixed numbers, we need to have the same denominator. We can convert -4 1/2 points to an improper fraction:
-9/2 + 3/4 points
Since the denominators are already the same, we can add the numerators:
-9/2 + 3/4 = -18/4 + 3/4 = -15/4
Therefore, Sandra's final score is -15/4 points.
To find Sandra's final score after answering the last question incorrectly, we need to subtract 3/4 from her overall score.
Given that Sandra's overall score was -4 1/2 points, which can be written as -9/2 points, we subtract 3/4 from -9/2:
-9/2 - 3/4
To subtract fractions, we need a common denominator. The least common multiple of 2 and 4 is 4.
Converting -9/2 to have a denominator of 4, we multiply both the numerator and denominator by 2:
(-9/2) * (2/2) = -18/4
Now, we can subtract the fractions:
(-18/4) - 3/4 = -21/4
Therefore, Sandra's final score is -21/4 points.