Hey! I need some help with this question! I totally forget how to do these types of problems!
1 over 2.75 = 1 over 3.2 - 1 over x
( 1/2.75 = 1/3.2 - 1/x) / = fraction bar
why all the words? You showed the math. Just solve the way you normally would; don''t let the fractions confuse things.
1/2.75 = 1/3.2 - 1/x
1/x = 1/3.2 - 1/2.75
1/x = (2.75-3.2)/(3.2*2.75)
x = (3.2*2.75)/(2.75-3.2) = 8.8/-0.45 = -19.556
Or, just convert to decimals at first:
0.363636 = 0.3125 - 1/x
0.05113 = -1/x
x = -19.556
Sure! I can help you with that equation.
To solve for x in the equation:
1/2.75 = 1/3.2 - 1/x
We need to get rid of the fractions by finding a common denominator.
The least common denominator (LCD) for 2.75 and 3.2 is 8.8, which is the product of the two denominators.
First, let's convert 2.75 and 3.2 to fractions with the denominator 8.8:
2.75 = 2.75/1 * 8.8/8.8 = 24.2/8.8
3.2 = 3.2/1 * 8.8/8.8 = 28.16/8.8
Now let's substitute these values back into the equation:
1/(24.2/8.8) = 1/(28.16/8.8) - 1/x
Simplifying further:
8.8/24.2 = 8.8/28.16 - 1/x
Now, we can multiply both sides of the equation by 24.2x (to eliminate the denominators):
8.8x = 24.2(8.8) - 24.2(1)
Simplifying:
8.8x = 213.76 - 24.2
8.8x = 189.56
And finally, divide both sides of the equation by 8.8:
x = 189.56 / 8.8
x ≈ 21.53
Therefore, the value of x that satisfies the equation is approximately 21.53.
I hope this explanation helps you understand how to solve this type of problem! Let me know if you have any further questions.