Evaluate the numerical expression.
−8/3-(-4/6)
A) -2
B) -2/3
C) 2
D) 2/3
c thanks
=-8/3 + 4/6
=-8/3 + 2/3
=-6/3
=
Nope. Try again.
A sorry I didn't see the negative sign
To evaluate the numerical expression −8/3-(-4/6), follow these steps:
Step 1: Simplify the numerator and denominator of both fractions separately.
- The numerator of the first fraction, -8/3, cannot be simplified any further.
- The numerator of the second fraction, -4/6, can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2.
- By simplifying -4/6, we get -2/3.
Now, the expression becomes -8/3 - (-2/3).
Step 2: Simplify the expression.
When subtracting a negative number, you can rewrite it as addition. So, -(-2/3) can be rewritten as +2/3.
Now, the expression becomes -8/3 + 2/3.
Step 3: Find the common denominator.
To add or subtract fractions, you need a common denominator. In this case, the denominators of both fractions are already the same, which is 3.
Step 4: Perform the subtraction.
Subtract the numerators and write the result over the common denominator.
-8/3 + 2/3 = (-8 + 2)/3 = -6/3.
Step 5: Simplify the fraction if possible.
-6/3 can be simplified by dividing both the numerator and denominator by their GCD, which is 3.
- By simplifying -6/3, we get -2.
Therefore, the value of the expression −8/3 - (-4/6) is -2.
So, the correct answer is A) -2.