If X is the average of 1/3 and 7/8, what is the average of x and 1/3

Question

If X is the average of 1/3 and 7/8, what is the average of x and 1/3

Answer 1

huh? the average of a and b is (a+b)/2

x = the average of 1/3 and 7/8 = (1/3 + 7/8)/2 = 29/48
so the average x and 1/3 = (29/48 + 1/3)/2 = 15/32

Answer 2

To find the average of two numbers, you add them together and then divide the sum by 2.

First, let's find the value of X, which is the average of 1/3 and 7/8.
To find the average, add the two numbers together and then divide by 2:

X = (1/3 + 7/8) / 2

To simplify this calculation, you'll need to find a common denominator for 1/3 and 7/8. The least common multiple of 3 and 8 is 24, so we can rewrite the fractions with denominators of 24:

X = (8/24 + 21/24) / 2

Next, combine the numerators:

X = (8 + 21) / 24 / 2

Simplify the numerator:

X = 29 / 24 / 2

To divide by a fraction, multiply by its reciprocal:

X = 29 / 24 * 1/2

Now, multiply the numerators and the denominators:

X = 29/48

Now that we have found the value of X, let's find the average of X and 1/3.

To find the average, add the two numbers together and then divide by 2:

Average = (X + 1/3) / 2

Substitute the value of X:

Average = (29/48 + 1/3) / 2

To find a common denominator, we can multiply 1/3 by 16/16:

Average = (29/48 + 16/48) / 2

Combine the numerators:

Average = (29 + 16) / 48 / 2

Simplify the numerator:

Average = 45 / 48 / 2

Again, divide by a fraction by multiplying by its reciprocal:

Average = 45/48 * 1/2

Multiply the numerators and denominators:

Average = 45/96

Therefore, the average of X and 1/3 is 45/96.

Answer 3

To find the average of two numbers, we add them together and divide by 2.

To find the average of 1/3 and 7/8, we add them together:

1/3 + 7/8 = 8/24 + 21/24 = 29/24

So, the average X of 1/3 and 7/8 is 29/24.

Now, to find the average of X and 1/3, we add them together:

29/24 + 1/3 = (29/24)*(3/3) + 8/24 = 87/72 + 24/72 = 111/72

So, the average of X and 1/3 is 111/72.

Answer 4

Apologies for the confusion. You are correct. The average of two numbers is indeed the sum of the numbers divided by 2.

To find the average of 1/3 and 7/8:

X = (1/3 + 7/8)/2

To simplify the expression inside the parentheses, we need to find a common denominator:

X = (8/24 + 21/24)/2 = 29/24

So, the average X of 1/3 and 7/8 is 29/24.

Now, to find the average of X and 1/3:

Average = (29/24 + 1/3)/2

Finding a common denominator:

Average = (29/24 + 8/24)/2 = 37/24

So, the average of X and 1/3 is 37/24.