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find (x+y)÷(x-y) if x=5/2;y=-3/4
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find (x+y)÷(x-y) if x=5/2;y=-3/4 Related: Chapter Notes - Rational Nu...
Given:
x = 5/2
y = -3/4

To find:
(x y) ÷ (x - y)

Calculation:

Let's substitute the given values into the expression to find the result.

(x y) ÷ (x - y) = (5/2 - 3/4) ÷ (5/2 + 3/4)

To simplify the expression, we need to find a common denominator for the fractions.

The common denominator for 2 and 4 is 4.

(5/2 - 3/4) ÷ (5/2 + 3/4) = (10/4 - 3/4) ÷ (10/4 + 3/4)

Now, we can subtract and add the fractions.

(10/4 - 3/4) ÷ (10/4 + 3/4) = 7/4 ÷ 13/4

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.

(7/4 ÷ 13/4) = 7/4 * 4/13

Now, we can multiply the fractions.

7/4 * 4/13 = 28/52

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4.

28/52 = 7/13

Therefore, (x y) ÷ (x - y) = 7/13.
Community Answer
find (x+y)÷(x-y) if x=5/2;y=-3/4 Related: Chapter Notes - Rational Nu...
(5/2-3/4)÷[5/2-(-3/4)]
7/4÷[5/2+3/4]
7/4÷13/4
7/13
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