Evaluating the Expression: 1/7 x 1/3 + 1/7 x 1/2 - 1/7
In this article, we will explore how to evaluate the given expression: 1/7 x 1/3 + 1/7 x 1/2 - 1/7. We will break down the expression into smaller parts and evaluate each part step by step.
Step 1: Evaluating 1/7 x 1/3
To evaluate 1/7 x 1/3, we need to multiply the numerators (1 and 1) and multiply the denominators (7 and 3).
1/7 x 1/3 = 1/21
Step 2: Evaluating 1/7 x 1/2
Next, we need to evaluate 1/7 x 1/2. Again, we multiply the numerators and denominators.
1/7 x 1/2 = 1/14
Step 3: Adding and Subtracting
Now, we need to add 1/21 and 1/14, and then subtract 1/7.
1/21 + 1/14 = (2+3)/42 = 5/42
Subtract 1/7 from the result:
5/42 - 1/7 = 5/42 - 6/42 = -1/42
Final Answer
The final answer is -1/42.
In conclusion, evaluating the expression 1/7 x 1/3 + 1/7 x 1/2 - 1/7 requires breaking down the expression into smaller parts and evaluating each part step by step. The final answer is -1/42.
