if the quotient of a number and 15 is added to 1/5 the result is 17/15.find the number
14/15 + 1/5 = 17/15
To find the number, we need to set up an equation based on the given information and solve for the unknown value.
Let's denote the unknown number as "x."
The quotient of a number "x" and 15 can be represented as x/15.
According to the problem, if we add 1/5 to this quotient, the result is 17/15. Therefore, the equation becomes:
(x/15) + (1/5) = 17/15
To solve this equation for "x," we can follow these steps:
1. Getting rid of fractions: Multiply all terms by the least common multiple (LCM) of the denominators, which is 15 in this case. This will eliminate the fractions in the equation:
15 * [(x/15) + (1/5)] = 15 * (17/15)
The equation simplifies to:
x + 3 = 17
2. Isolating the variable: Subtract 3 from both sides of the equation to isolate the variable "x":
x + 3 - 3 = 17 - 3
This simplifies to:
x = 14
Therefore, the number we are looking for is 14.