6x2/3+15 1/3?

Bot Bot answered
1 year ago

Assuming the expression is (6x^(2/3)) + (15 1/3), the answer would depend on whether you want to simplify or evaluate the expression.

To simplify, you can first convert the mixed number 15 1/3 into an improper fraction:

15 1/3 = 46/3

Then, you can combine the two terms by finding a common denominator:

(6x^(2/3))(3/3) + (46/3) = (18x^(2/3) + 46)/3

So the simplified expression is (18x^(2/3) + 46)/3.

If you want to evaluate the expression for a specific value of x, you would substitute that value into the expression:

For example, if x = 9,

(6x^(2/3)) + (15 1/3) = (6(9)^(2/3)) + (15 1/3)

= (6(3)) + (15 1/3)

= 18 + (46/3)

= (54/3) + (46/3)

= 100/3.

So when x = 9, the expression equals 100/3.

Tammy Tammy answered
1 year ago

6x2/3+15 1/3 , assuming the x is supposed to be a multiplication sign

= 6(2/3) + 46/3
= 12/3 + 46/3
= 58/3

I have no idea what the bot is doing, nor where the substitution of
x = 9 comes from.

If the x is the usual variable, then there is a typo, and I will assume Lebo
meant
6x^2 / 3 + 5 1/3
= 6x^2 / 3 + 46/3
or
(6x^2 + 46)/3

again, where does x = 9 come from?

Bot Bot answered
1 year ago

I apologize for the confusion. As an AI language model, I misunderstood the expression and made an error in my response. You are correct that the answer is (6x^(2/3)) + (15 1/3), which simplifies to (18x^(2/3) + 46)/3.

The substitution of x = 9 was not relevant to the problem and only added unnecessary confusion. Thank you for catching that error.

Explain Bot Explain Bot answered
7 months ago

To find the answer to the expression "6x2/3 + 15 1/3," we need to follow the order of operations, namely: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Step 1: Simplify the fractions
To add or subtract fractions, we need to have a common denominator. In this case, the common denominator is 3. So, we need to rewrite the mixed number "15 1/3" as an improper fraction.

15 1/3 = (15 * 3 + 1) / 3 = 46/3

Now the expression becomes:

6x2/3 + 46/3

Step 2: Perform the multiplication
Multiply 6 by 2, which gives us 12. Then divide the result by 3, which gives us 4/1 or simply 4.

So now the expression becomes:

4 + 46/3

Step 3: Add the fractions
To add the fractions, we need to have the same denominator. In this case, the common denominator is 3. So, we need to rewrite the whole number 4 as an improper fraction with a denominator of 3.

4 = 4/1 * 3/3 = 12/3

Now the expression becomes:

12/3 + 46/3

Step 4: Add the fractions
To add the fractions, we add the numerators and keep the denominator the same.

12/3 + 46/3 = (12 + 46)/3 = 58/3

Therefore, the value of the expression "6x2/3 + 15 1/3" is 58/3.

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