Find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.
To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we first add 2 and 2 1/4:
2 + 2 1/4 = 2 + 9/4 = 8/4 + 9/4 = 17/4
Next, we divide 17/4 by 2:
(17/4) ÷ 2 = 17/4 × 1/2 = 17/8
Therefore, a rational number between 2 and 2 1/4 using this method is 17/8. As a mixed number, it can be written as 2 1/8.
Find a rational number with one decimal place that is between 17−−√ and 18−−√
To find a rational number with one decimal place that is between √17 and √18, we first calculate the decimal approximations of each square root:
√17 ≈ 4.123
√18 ≈ 4.243
Next, we find a decimal number between 4.123 and 4.243 with one decimal place. One way to do this is to take the average of these two decimal approximations:
(4.123 + 4.243) / 2 ≈ 8.366 / 2 ≈ 4.183
Therefore, a rational number with one decimal place that is between √17 and √18 is approximately 4.2.
To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, follow these steps:
Step 1: Add the two numbers together: 2 + 2 1/4.
2 + 2 1/4 = 2 + 9/4
Step 2: Convert the mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator.
2 1/4 = (2 * 4) + 1 = 9/4
Step 3: Add the fractions together.
2 + 9/4 = 8/4 + 9/4 = 17/4
Step 4: Divide the sum by 2.
17/4 ÷ 2 = 17/8
Step 5: Convert the improper fraction back to a mixed number.
17 ÷ 8 = 2 with a remainder of 1
The mixed number is 2 1/8.
Therefore, a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2 is 2 1/8.
To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we need to follow these steps:
Step 1: Add the two numbers together: 2 + 2 1/4 = 2 + (9/4) = 8/4 + 9/4 = 17/4.
Step 2: Divide the sum by 2: (17/4) / 2 = 17/4 * 1/2 = 17/8.
Now, let's write the answer as a mixed number:
To convert the fraction 17/8 into a mixed number, we need to divide the numerator (17) by the denominator (8):
17 ÷ 8 = 2 remainder 1
This means we have 2 whole parts and a fractional part of 1/8.
So, the answer is 2 1/8.
Therefore, a rational number between 2 and 2 1/4 using the method explained is 2 1/8.