Solve 3/4 + 1/6 - 2/3
2 answers:
Step-by-step explanation:
<u>Step 1: Multiply and Divide both sides (3/4)</u>
3/4 +1/16 - 2/3
= 3/4
<u>Step 2: Multiply and Divide both sides (1/6)</u>
3/4 + 1/6 - 2/3
= 1/6
<u>Step 3: Multiply and Divide both sides (2/3)</u>
3/4 + 1/6 - 2/3
= 2/3
<u>Step 4: Add and Subtract both sides (3/4 + 1/6 - 2/3)</u>
3/4 + 1/6 = 11/12
11/12 - 2/3
11/12 - 2/3 = 1/4
= 1/4
Explanation in words:
- The first step is to multiply and divide both sides by 3/4.
- The second step is to multiply and divide both sides by 1/6.
- The third step is to multiply and divide both sides by 2/3.
- The last step is to add and subtract both sides and the answer will end up being 1/4.
Easy Steps: See Attachment
Answer:
= 1/4
(Decimal: 0.25)
Hope this helps.
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Answer: There are ways of doing this
Hi!
To solve this problem we can think in term of binary numbers. Let's start with an example:
n=5, A = {1, 2 ,3}, B = {4,5}
We can think of A as 11100, number 1 meaning "this element is in A" and number 0 meaning "this element is not in A"
And we can think of B as 00011.
Thinking like this, the empty set is 00000, and [n] =11111 (this is the case A=empty set, B=[n])
This representation is a 5 digit binary number. There are of these numbers. Each one of this is a possible selection of A and B. But there are repetitions: 11100 is the same selection as 00011. So we have to divide by two. The total number of ways of selecting A and B is the
.
This can be easily generalized to n bits.