Final answer:
The correct answer to the question is option e. none of these, as the calculation shows that the number which is 70% of the way from 2/9 to 4/3 is actually 1, which is not listed among the provided options.
Step-by-step explanation:
The correct answer is option e. none of these.
To find the number that is 70% of the way from 2/9 to 4/3, first calculate the difference between the two numbers: 4/3 - 2/9.
Before we can subtract these fractions, we need a common denominator. The least common denominator for 3 and 9 is 9. So we convert 4/3 to 12/9. Now we can subtract: 12/9 - 2/9 = 10/9.
This is the total difference. Now we find 70% of this difference: 70/100 * 10/9 = 7/10 * 10/9 = 7/9.
To find the actual number that is 70% of the way from 2/9 to 4/3, we start at 2/9 and add 70% of the total difference to it: 2/9 + 7/9 = 9/9 = 1.
The number that is 70% of the way from 2/9 to 4/3 is 1
To find the number that is 70% of the way from 2/9 to 4/3, we first need to find the distance between 2/9 and 4/3. The distance can be found by subtracting 2/9 from 4/3: 4/3 - 2/9 = (12/9) - (2/9) = 10/9.
To find 70% of this distance, we multiply it by 0.7 (which is the decimal equivalent of 70%): 10/9 × 0.7 = 7/9.
Therefore, the number that is 70% of the way from 2/9 to 4/3 is 7/9.