*3%2F5.jpeg "(1/2-1/3)*3/5")
(1/2-1/3)*3/5: Evaluating the Expression
In mathematics, evaluating expressions is a fundamental skill that requires following the order of operations and applying basic arithmetic operations correctly. In this article, we will evaluate the expression (1/2-1/3)*3/5 step by step.
Step 1: Evaluate the Expression Inside the Parentheses
First, we need to evaluate the expression inside the parentheses:
1/2 - 1/3
To do this, we will find a common denominator, which is 6.
1/2 = 3/6
1/3 = 2/6
Now, we can subtract the two fractions:
3/6 - 2/6 = 1/6
So, the expression inside the parentheses evaluates to 1/6.
Step 2: Multiply by 3/5
Now, we need to multiply 1/6 by 3/5:
(1/6) * (3/5)
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom):
(1*3)/(6*5) = 3/30
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
3/30 = 1/10
Final Answer
The final answer is 1/10. Therefore, the value of the expression (1/2-1/3)*3/5 is 1/10.
