Understanding Variables and Fractions in Mathematics

x=5/3

The equation x = 5/3 is an example of a simple algebraic equation, where x represents a variable and 5/3 is a fraction

The equation x = 5/3 is an example of a simple algebraic equation, where x represents a variable and 5/3 is a fraction.

To better understand the equation, we can break it down into two parts:

1. The variable x: In algebra, a variable represents an unknown value or quantity that we are trying to find. In this equation, x is the variable we want to determine.

2. The fraction 5/3: Fractions consist of two parts – a numerator (the top number) and a denominator (the bottom number). In this case, the fraction 5/3 represents the ratio of 5 divided by 3.

To solve this equation, we need to simplify the fraction 5/3 to its simplest form. To do this, we find the greatest common divisor (GCD) of the numerator and denominator, then divide both the numerator and denominator by the GCD.

The GCD of 5 and 3 is 1, so we can divide both the numerator and denominator by 1. This gives us:

5 ÷ 1 / 3 ÷ 1

Which simplifies to:

5/1 / 3/1

Now, dividing 5 by 1 is simply 5 and dividing 3 by 1 is 3. Thus, our final result is:

x = 5/3 = 5

Therefore, the value of x in the equation x = 5/3 is 5.

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