What is 2/3 - 1/6?<span><span>Here's how to subtract 1/6 from 2/3:<span><span>23</span>−<span>16</span></span></span><span>Step 1We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.So we multiply 2 by 6, and get 12.Then we multiply 1 by 3, and get 3.Next we give both terms new denominators -- 3 × 6 = 18.So now our fractions look like this:<span><span>1218</span>−<span>318</span></span></span><span>Step 2Since our denominators match, we can subtract the numerators.12 − 3 = 9So the answer is:<span>918</span></span><span>Step 3Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?To find out, we try dividing it by 2...Nope! So now we try the next greatest prime number, 3...Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:<span><span>918</span>÷ 3 =<span>36</span></span>Let's try dividing by 3 again...Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:<span><span>36</span>÷ 3 =<span>12</span></span>Let's try dividing by 3 again...No good. 3 is larger than 1. So we're done reducing.There you have it! The final answer is:<span><span>23</span>−<span>16</span>=<span><span>12</span></span></span></span></span>There are 3 simple steps to subtract fractions<span>Make sure the bottom numbers (the denominators) are the same.Subtract the top numbers (the numerators). Put the answer over the same denominator.<span>Simplify the fraction (if needed).
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Answer: 
Step-by-step explanation:
<h3>
The exercise is: " Evaluate 
when 
and 
</h3>
Given the following expression:
You can follow these steps in order to evaluate it:
1. Substitute and into the expression provided in the exercise:
2. Solve the multiplications. Remember that:
Then:
3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:
4. Solve the addition:
Since the number 21 has a denominator 1, the Least Common Denominator is:
Then, the sum is:
A. The figure is a triangular pyramid. You can findits surface area by adding up the area of the three faces of the triangle and the area of the base. A derived formula also is used where the SA is equal to 12 times the perimeter of base times the slant height, added to that is the area of the base. The area of the square base is s^2. Its perimeter is 4s.
SA of Pyramid = 12*P*l + s^2
SA of Pyramid = 12*4s*l + 16^2
SA of Pyramid = 12*4(16)*(17) + (16)^2
SA of Pyramid = 11,008 square inches
b.) The formula for the SA of a cone is:
SA of cone = πr[r+√(h^2+r^2)]
SA of cone = π(3)[(3+√(8^2+3^2)]
SA of cone = 108.8 square inches
Answer:
<h2>A) 52 units</h2>
Step-by-step explanation:
The formula of a distance between two points X and Y on the number line:
d = |Y - X|
We have
P = -76, Q = -24
Substitute:
d = |-24 - (-76)| = |-24 + 76| = |52| = 52
