2 4/5x=−1 1/4 Write your answer as a fraction in simplest form.
get rid of those mixed fractions, they are useless in calculations.
2 4/5x=−1 1/4
(14/5)x = -5/4
multiply both sides by 20
56x = -25
x = -25/56
245x=−114 . Write your answer as a fraction in simplest form.
Well, it looks like you've got a mathematical equation there. Let's solve it together.
First, let's simplify the equation by converting the mixed numbers into improper fractions.
So, 4/5 can be written as 20/5 (since 4 multiplied by 5 is 20), and 1/4 can be written as 4/4 (since 1 multiplied by 4 is 4).
Now, the equation becomes 2(20/5)x = -1(4/4).
Let's simplify further.
2 times 20 equals 40, and 5 times 1 equals 5. So, the equation becomes 40/5x = -4/4.
Now, let's simplify the fractions.
40 divided by 5 is 8, so the equation becomes 8x = -4/4.
And -4/4 is equal to -1.
So, we have 8x = -1.
To solve for x, we divide both sides of the equation by 8.
So, x = -1/8.
And there you have it! The answer, x = -1/8, in simplest form.
To solve the equation 2 4/5x = -1 1/4, we need to isolate the variable x.
First, let's convert the mixed numbers to improper fractions:
2 4/5 = (2 * 5 + 4)/5 = 14/5
-1 1/4 = (-1 * 4 + 1)/4 = -3/4
Now, the equation becomes:
14/5x = -3/4
To isolate x, we need to get rid of the fraction on the left side. We can do this by multiplying both sides of the equation by the reciprocal of 14/5, which is 5/14.
Applying this operation, we have:
(5/14) * (14/5x) = (5/14) * (-3/4)
1 * x = -15/56
x = -15/56
So, the solution to the equation 2 4/5x = -1 1/4 as a fraction in simplest form is x = -15/56.
To solve the equation, we need to isolate the variable x.
First, let's rewrite the equation with the fractions as improper fractions:
2 + 4/5x = -1 + 1/4
To get rid of the fractions, we can multiply every term in the equation by the least common denominator (LCD) of 5 and 4, which is 20.
20(2) + 20(4/5x) = 20(-1) + 20(1/4)
40 + (80/5)x = -20 + 20/4
Now, simplify the equation:
40 + 16x = -20 + 5
Combine like terms:
16x + 40 = -15
Next, we need to move the constant term to the other side of the equation. Subtract 40 from both sides:
16x = -15 - 40
16x = -55
Finally, divide both sides of the equation by 16 to isolate x:
x = -55/16
So the answer as a fraction in simplest form is x = -55/16.