Can you please help explain how to get the answer to 3/x = 2/5
thanks a heap
3/x = 2/5
Multiply both sides by x (to get rid of the x in the denominator)
x*(3/x) = x*(2/5)
3 = 2x/5
Now multiply both sides by 5 (to get rid of the 5 in the denominator.)
3*5 = 5*(2x/5)
15 = 2x
Now divide both sides by 2
15/2 = 2x/2
7.5 = x
To solve the equation 3/x = 2/5, you can follow these steps:
1. Cross-multiply: Multiply the numerator of the first fraction (3) by the denominator of the second fraction (5) and the denominator of the first fraction (x) by the numerator of the second fraction (2). This gives us the equation: 3 * 5 = 2 * x.
2. Simplify: Simplify both sides of the equation. 3 * 5 equals 15, and 2 * x simplifies to 2x, so the equation becomes 15 = 2x.
3. Solve for x: Divide both sides of the equation by 2 to isolate x. 15 divided by 2 is 7.5, so the equation becomes 7.5 = x.
Therefore, the solution to the equation 3/x = 2/5 is x = 7.5.