Let's break down the question into parts and simplify it:
1. "1 whole number": We don't know what this number is, so let's call it "x".
2. "3/4 of 1 whole number": This means we take 3/4 of x, which is equivalent to (3/4)x.
3. "1/14": We leave this fraction as-is.
4. "1/2": We leave this fraction as-is.
Putting it all together, we get:
(3/4)x - 1/14 - 1/2
To combine the fractions, we need to get a common denominator:
(21/28)x - 2/28 - 14/28
Simplifying:
(21/28)x - 16/28
Reducing:
(3/4)x - 4/7
The positive difference between two values is found by subtracting the smaller value from the larger value. In this case, we don't have two values explicitly given, but we can see that:
- (3/4)x is larger than 4/7 if x is greater than 16/3 (5 and 1/3).
- 4/7 is larger than (3/4)x if x is less than 16/3.
This means that the positive difference between (3/4)x and 4/7 is:
(3/4)x - 4/7 if x is greater than 16/3
4/7 - (3/4)x if x is less than 16/3
We don't know what x is, so we can't say for sure which case to use. However, we can simplify the expressions further by multiplying the fractions by 28 to get rid of denominators:
21x/28 - 16/28 = (21x - 16)/28 if x is greater than 16/3
4/7 - 21x/28 = (16 - 21x)/28 if x is less than 16/3
So the positive difference is:
(21x - 16)/28 if x is greater than 16/3
(16 - 21x)/28 if x is less than 16/3
Note that if x is exactly equal to 16/3, the two expressions above are equal and the positive difference is 0.
Find the positive difference between 1 whole number 3/4 of 1 whole number 1/14 and 1/2
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1 answer