if the product of 2 rational no. is 25/42 and one of them is -20/7 find the othr
x y = 25/42
x (-20/7) = 25/42
x = (25/42)(-7/20)
x = (5/4)(-7/42)
x = (5/4)(-1/6)
x = -5/24
Well, if you want to find the other rational number, let's call it "x". We know that the product of -20/7 and "x" is equal to 25/42. That means we can set up the equation:
(-20/7) * x = 25/42
Now, to solve for "x", we can cross multiply:
(-20/7) * x = 25/42
-20x = (25/42) * 7
Now, let's divide both sides by -20 to isolate "x":
x = (25/42) * 7 / -20
Now, let me whip out my trusty calculator...
*Calculator sounds*
According to my calculations, the value of "x" is approximately -1.250. So, the other rational number is -1.250. Although, I must say, it's not a very rational choice for dinner conversation.
To find the other rational number, we can use the given information that the product of the two rational numbers is 25/42, and one of them is -20/7.
Let's represent the other rational number as "x".
According to the given information, we can write an equation:
(-20/7)*x = 25/42
To solve for x, we can cross multiply:
(-20/7)*x = 25/42
Multiply both sides by 7 to get rid of the denominator:
-20x = (25/42) * 7
Simplify:
-20x = 25 * (1/6)
Simplify further:
-20x = 25/6
Now, divide both sides by -20 to solve for x:
x = (25/6) / -20
Simplify the right side:
x = (25/6) * (-1/20)
Multiply the numerators and denominators:
x = (-25/120)
Simplify the fraction:
x = -5/24
Therefore, the other rational number is -5/24.
To find the other rational number, we can use the formula for multiplying fractions:
(a/b) * (c/d) = (ac)/(bd)
Given that one of the rational numbers is -20/7 and the product of the two rational numbers is 25/42, we can write the equation as follows:
(-20/7) * x = 25/42
To solve this equation for x, we need to isolate it. To do that, we can start by multiplying both sides of the equation by the reciprocal of -20/7, which is -7/20:
((-20/7) * x) * (-7/20) = (25/42) * (-7/20)
Simplifying both sides of the equation, we have:
(20/7) * (7/20) * x = (25/42) * (-7/20)
The fraction (20/7) * (7/20) simplifies to 1, leaving us with:
x = (25/42) * (-7/20)
Now we can multiply the numerators and the denominators to get the result:
x = (-7 * 25) / (42 * 20)
Simplifying further, we have:
x = -175 / 840
The other rational number is -175/840.
To confirm the answer, you can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of -175 and 840 is 35. Dividing both -175 and 840 by 35, we get:
x = -5/24, which is the simplified form of -175/840.