Question

5/2 times x equals 1

Answer 1

Answer:

$x=\frac{2}{5}$

Step-by-step explanation:

Given:

The equation to solve is given as:

$\frac{5}{2}\times x=1$

In order to solve this equation for 'x', we need to isolate 'x' from its coefficient.

The coefficient of 'x' here is $\frac{5}{2}$ which is a fractional coefficient. Therefore, we have to perform the mathematical operation twice to isolate 'x'.

Step 1: Multiply both sides by 2 to eliminate the denominator of the fractional coefficient. This gives,

$2\times \frac{5}{2}\times x=1\times 2\\\frac{2\times 5\times x}{2}=2\\5x=2$

Step 2: Divide both sides by 5 to eliminate the numerator of the fractional coefficient. This gives,

$\frac{5x}{5}=\frac{2}{5}\\\\x=\frac{2}{5}$

Therefore, the solution is $x=\frac{2}{5}$