12/15 - 7/15 + /15 =1
To solve this equation, we need to perform the arithmetic operations in the correct order of operations (also known as PEMDAS or BODMAS), which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Let's break down the expression step by step:
1. First, let's simplify the numerators.
- The numerator of the first fraction is 12.
- The numerator of the second fraction is -7.
- The numerator of the third fraction is 1.
2. Next, let's simplify the denominators.
- The denominator of all the fractions is 15.
3. Now, let's rewrite the expression with the simplified fractions:
(12/15) - (7/15) + (1/15) = 1
4. Since all the fractions have the same denominator, we can combine the numerators over the common denominator:
(12 - 7 + 1) / 15 = 1
5. Simplify the numerator:
6 / 15 = 1
6. Reduce the fraction:
Divide both the numerator and denominator by their greatest common divisor, which in this case is 3:
2 / 5 = 1
Therefore, the value of the expression 12/15 - 7/15 + 1/15 is equal to 1.