The quotient of a number and 3, minus 1, equals 5/3. Find the number.

Thank you!

You're welcome.

But why did you switch names?

To find the number, let's break down the given information and solve step by step.

The problem states that the quotient of a number and 3, minus 1, equals 5/3. Let's denote the number as 'x'.

The quotient of a number and 3 can be written as x/3.

So, according to the problem, the equation becomes:

x/3 - 1 = 5/3

To isolate the variable 'x', we will solve for it step by step.

1. We start by adding 1 to both sides of the equation:

x/3 - 1 + 1 = 5/3 + 1

This simplifies to:

x/3 = 5/3 + 3/3

2. Combine the fractions on the right side:

x/3 = 8/3

3. To get rid of the fraction, we can multiply both sides of the equation by the denominator (3):

(3) * (x/3) = (3) * (8/3)

This simplifies to:

x = 8

Therefore, the number x is equal to 8.

(x/3) - 1 = 5/3

x/3 = 5/3 + 3/3

x/3 = 8/3

x = (8/3) * 3

x = 24/3

x = 8