Which Colton is between -4 and -5
-9 and 1/3 / 2
2 and 5/6 / -1/2
-5 and 1/2 / -1 and 1/2
Wanted to turn divided by -1/2
To convert "divided by -1/2" to multiplication, you need to find the reciprocal of -1/2, which is -2. Now you can rewrite the expressions as follows:
Colton between -4 and -5 = -4 to -5 (no change)
-9 and 1/3 / 2 = (-9 and 1/3) * 2
2 and 5/6 / -1/2 = (2 and 5/6) * -2
-5 and 1/2 / -1 and 1/2 = (-5 and 1/2) * -2
To find which Colton is between two numbers, we need to find the average (mean) of those numbers. Let's calculate the averages of the given number ranges:
1) To find the average of -4 and -5:
Average = (-4 + -5) / 2 = -9 / 2 = -4.5
2) To find the average of -9 and 1/3:
Convert 1/3 to a decimal: 1/3 ≈ 0.3333
Average = (-9 + 0.3333) / 2 ≈ -4.8334 / 2 ≈ -2.4167
3) To find the average of 2 and 5/6:
Convert 5/6 to a decimal: 5/6 ≈ 0.8333
Average = (2 + 0.8333) / 2 ≈ 2.8333 / 2 ≈ 1.4167
4) To find the average of -5 and 1/2:
Convert 1/2 to a decimal: 1/2 = 0.5
Average = (-5 + 0.5) / 2 ≈ -4.5 / 2 ≈ -2.25
Now, if you want to divide any of these averages by -1/2, let's proceed with step 4:
Dividing -4.5 by -1/2:
Invert and multiply: -4.5 / -1/2 = -4.5 * -2/1 = 9
Dividing -2.4167 by -1/2:
Invert and multiply: -2.4167 / -1/2 = -2.4167 * -2/1 ≈ 4.8334
Dividing 1.4167 by -1/2:
Invert and multiply: 1.4167 / -1/2 = 1.4167 * -2/1 ≈ -2.8334
Dividing -2.25 by -1/2:
Invert and multiply: -2.25 / -1/2 = -2.25 * -2/1 = 4.5
Therefore, the results of dividing each average by -1/2 are as follows:
-4.5 divided by -1/2 = 9
-2.4167 divided by -1/2 ≈ 4.8334
1.4167 divided by -1/2 ≈ -2.8334
-2.25 divided by -1/2 = 4.5
To find the answer to each of these expressions, we will perform the division as requested.
1) Which Colton is between -4 and -5:
Since there is no division involved in this question, we can simply compare the given numbers. Between -4 and -5, -4 is closer to 0 than -5. Therefore, the Colton that is between -4 and -5 is -4.
2) -9 and 1/3 divided by 2:
To perform this division, we multiply -9 and 1/3 by the reciprocal of 2, which is 1/2. The reciprocal of a number is obtained by swapping the numerator and the denominator. Therefore, the division can be rewritten as (-9 and 1/3) x (1/2).
To compute this multiplication, we convert the mixed number to an improper fraction: -9 and 1/3 = -9(3/3) + 1/3 = -28/3. Thus, the expression becomes (-28/3) x (1/2).
To multiply fractions, multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. Applying this rule, the result is: (-28/3) x (1/2) = (-28 x 1) / (3 x 2) = -28/6.
The fraction -28/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This simplifies the fraction to -14/3. Therefore, the value of -9 and 1/3 divided by 2 is -14/3.
3) 2 and 5/6 divided by -1/2:
Similar to the previous example, we multiply 2 and 5/6 by the reciprocal of -1/2, which is -2/1. Converting the mixed number to an improper fraction gives us 2 and 5/6 = 2(6/6) + 5/6 = 17/6. So, the expression becomes (17/6) x (-2/1).
Multiplying fractions follows the same rule mentioned earlier: multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. Applying this rule, we have: (17/6) x (-2/1) = (-34/6).
Simplifying the fraction -34/6 by dividing both the numerator and the denominator by their greatest common divisor, which is 2, results in -17/3. Therefore, the value of 2 and 5/6 divided by -1/2 is -17/3.
Lastly, the expression "Wanted to turn divided by -1/2" seems to be incomplete, as there is no value or variable mentioned. Please provide more context, and I would be happy to assist you further.