Final answer:
To find the number, solve the equation: (1/3)x - (3/4) = 1/3. Multiply both sides by 12 to eliminate the fractions. Simplify the equation and solve for x. The number is 13/4 or 3.25.
Step-by-step explanation:
To find the number, we'll set up an equation using the information given in the question.
Let's represent the number by 'x'. We know that one third of the number, decreased by three-fourths, gives one-third. So, we can write:
(1/3)x - (3/4) = 1/3
To solve this equation, we need to get rid of the fraction. To do that, we can multiply both sides of the equation by the lowest common denominator (LCD), which is 12. Multiplying both sides by 12 gives:
4x - 9 = 4
Next, we can add 9 to both sides to isolate the variable:
4x = 13
Finally, dividing both sides by 4 gives the value of x:
x = 13/4
The number is 13/4 or 3.25.