The simplest fraction for is . Write the upper bound as a fraction with the same denominator:
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Hence the range for would be:
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If the denominator of is also , then the range for its numerator (call it ) would be . Apparently, no whole number could fit into this interval. The reason is that the interval is open, and the difference between the bounds is less than .
To solve this problem, consider scaling up the denominator. To make sure that the numerator of the bounds are still whole numbers, multiply both the numerator and the denominator by a whole number (for example, 2.)
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At this point, the difference between the numerators is now . That allows a number ( in this case) to fit between the bounds. However, can't be written as finite decimals.
Try multiplying the numerator and the denominator by a different number.
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It is important to note that some expressions for can be simplified. For example, because of the common factor .
The answer would be $1.75 (Rounded off to the nearest cent).
Substitute the given cost of each pint of fruit to the equation. Transpose and simplify, to get the price of a pint of veggies. Given: <span>5v + 7f = 28.70; f = $2.85 Solution: </span><span>5v + 7(2.85) = 28.70 </span><span>5v + 19.95 = 28.70 5v = 8.75 v = 1.75</span>