Simplify the expression -15.2 - (-12 3/4)
a -2.45
b -27.95
c 2.45
d 27.95
-15.2 - (-12 3/4) = -15.2 + 12 3/4
To add -15.2 and 12 3/4, we need to find a common denominator:
12 3/4 = 51/4
-15.2 + 12 3/4 = -15.2 + 51/4
Now, let's convert -15.2 to a fraction with a denominator of 4:
-15.2 = -152/10 = -76/5
-15.2 + 51/4 = -76/5 + 51/4
To add fractions, we need a common denominator:
-76/5 + 51/4 = -76/5 * 4/4 + 51/4 * 5/5
= -304/20 + 255/20
Now, we can add the numerators:
-304/20 + 255/20 = (-304 + 255)/20
= -49/20
Therefore, the simplified expression is -49/20, which is equivalent to -2.45.
So, the answer is: a) -2.45
To simplify the expression -15.2 - (-12 3/4), we can start by simplifying the subtraction of the whole numbers in the expression.
-15.2 - (-12) = -15.2 + 12 = -3.2
Next, we subtract the fraction from the whole number.
-3.2 - (3/4) = -3.2 - 0.75 = -3.95
Therefore, the simplified expression is -3.95.
So, the correct answer is option b) -27.95.