Answer:
The value of the expression is -7/12.
None of the option is true.
Explanation:
To evaluate the expression 15/4 + (-4(1/3)) with the mixed fraction -4(1/3), we need to convert the mixed fraction into an improper fraction.
To convert the mixed fraction -4(1/3) to an improper fraction, we multiply the whole number (-4) by the denominator (3) and add the numerator (1).
The result becomes the new numerator, and the denominator remains the same.
So,
-4(1/3) can be rewritten as:
-(4 * 3 + 1) / 3
= -13/ 3.
Now, let's rewrite the expression with the correct term:
15/4 + (-13/3)
Next, let's find a common denominator for the fractions.
The least common multiple of 4 and 3 is 12.
Converting the fractions to have a denominator of 12:
15/4 is equivalent to (15/4) * (3/3) = 45/12.
-11/3 is equivalent to (-13/3) * (4/4) = -52/12.
Now, we can add the fractions:
45/12 + (-52/12)
= (45 - 52)/12
= -7/12.
Therefore,
The value of the expression is -7/12.
Find 15/4 + (-4(1/3))
a) 15/4
b) 11/3
c) 13/4
d) 7/6