one third of which number must be subtracted from 7/11 to give 24/25
4/11 - x/3 = 24/25
I would multiply each term by 825 , the LCD
thnx
Let's call the number we need to find "x".
We know that if we subtract one third of "x" from 7/11, it will give us 24/25.
So, the equation can be set up as:
7/11 - (1/3)x = 24/25
To solve for "x", we need to isolate "x" on one side of the equation. Let's start by getting rid of the fractions.
First, we can multiply both sides of the equation by the least common denominator (LCD), which in this case is 330. Multiplying each term by 330 gives:
(330 * 7/11) - (330 * 1/3)x = (330 * 24/25)
This simplifies to:
210 - (110/3)x = 316.8
Now, let's continue simplifying the equation by multiplying (110/3) with "x":
210 - (110/3)x = 316.8
To get rid of the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 3:
3 * (210 - (110/3)x) = 3 * 316.8
This becomes:
630 - 110x = 950.4
We can now solve for "x" by isolating it on one side of the equation. Let's start by subtracting 630 from both sides:
630 - 630 - 110x = 950.4 - 630
Simplifying gives:
-110x = 320.4
Now, divide both sides of the equation by -110 to solve for "x":
(-110x) / -110 = 320.4 / -110
x = -2.9136
Therefore, one third of the number that must be subtracted from 7/11 to give 24/25 is approximately -2.9136.
To solve this problem, let's assign a variable to the unknown number. Let's call it "x".
We know that one-third of x must be subtracted from 7/11 to give 24/25. Mathematically, this can be represented as:
(7/11) - (1/3)x = 24/25
To solve for x, we need to isolate the variable on one side of the equation.
First, let's get rid of the fractions by multiplying the entire equation by the least common multiple (LCM) of the denominators, which is 11 * 3 * 25 = 825:
825 * (7/11) - 825 * (1/3)x = 825 * (24/25)
Next, we simplify:
(7/11) * 825 - (1/3)x * 825 = 24 * 33
Now, we can simplify the equation:
7 * 75 - 275x = 792
Multiply:
525 - 275x = 792
To isolate x, we need to move the constant term to the opposite side of the equation:
-275x = 792 - 525
-275x = 267
To solve for x, divide both sides of the equation by -275:
x = 267 / -275
Thus, x is approximately equal to -0.9709091.
Therefore, one third of the number must be subtracted from 7/11 to give 24/25 when the number is approximately equal to -0.9709091.