To solve the equation [tex]\( 5.252 \div X = 2.02 \)[/tex] for the unknown [tex]\( X \)[/tex], follow these steps:
1. Understand the Problem: You have the equation [tex]\( 5.252 \div X = 2.02 \)[/tex], where [tex]\( 5.252 \)[/tex] is the dividend, [tex]\( 2.02 \)[/tex] is the result of the division, and [tex]\( X \)[/tex] is the divisor.
2. Isolate the Unknown: To find [tex]\( X \)[/tex], you need to isolate it on one side of the equation. You can do this by multiplying both sides of the equation by [tex]\( X \)[/tex] to get rid of the division:
[tex]\[
5.252 = 2.02 \times X
\][/tex]
3. Solve for X: Now, divide both sides of the equation by [tex]\( 2.02 \)[/tex] to solve for [tex]\( X \)[/tex]:
[tex]\[
X = \frac{5.252}{2.02}
\][/tex]
4. Calculate the Division: Perform the division on the right-hand side of the equation to find the value of [tex]\( X \)[/tex]:
[tex]\[
X = 2.6
\][/tex]
So, the value of [tex]\( X \)[/tex] that satisfies the equation [tex]\( 5.252 \div X = 2.02 \)[/tex] is [tex]\( 2.6 \)[/tex].
