Accepted Solution
This section provides a step-by-step procedure to solve a division problem where the divisor is unknown. Specifically, we solve the problem: "What number should 25 be divided by to yield 42?" In algebra, we usually represent unknowns using variables, with 'x' being the most common.
Here is how you would construct the equation using mathematical notation: \[ \frac{25}{x} = 42 \] Our target here is to solve for x, i.e., to modify the equation in such a way that x stands alone on one side. We can accomplish this in the following two steps:
Initially, we multiply the two sides by x to isolate 25: \[ 25 = 42 * x \] Subsequently, we isolate x by dividing the two sides by 42: \[ x = \frac{25}{42} \]
On carrying out the division, we're able to find the value of x. For precise results, we round off to 3 decimal places as necessary. \[ x = 0.595 \]
Once you understand how this works, feel free to practice with similar problems like: "What number, divided by 65, gives 47?", "90 divided by what equals 44?", or algebraic expressions like "17/11 divided by 53", "16/15 divided by 1/13", and "96 divided by 18/5".