(-2%2F5).jpeg "(3/4+1/7)(-2/5)")
Evaluating the Expression: (3/4 + 1/7)(-2/5)
In this article, we will evaluate the expression (3/4 + 1/7)(-2/5) step by step.
Step 1: Evaluate the expression inside the parentheses
First, let's evaluate the expression inside the parentheses:
3/4 + 1/7
To add these two fractions, we need to find a common denominator. The least common multiple of 4 and 7 is 28. So, we can convert both fractions to have a denominator of 28:
3/4 = 21/28
1/7 = 4/28
Now, we can add them:
21/28 + 4/28 = 25/28
So, the expression inside the parentheses is equal to 25/28.
Step 2: Multiply the result by -2/5
Now, we need to multiply the result by -2/5:
(25/28) × (-2/5)
To multiply fractions, we multiply the numerators and multiply the denominators:
(25 × -2) / (28 × 5)
= -50/140
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 10:
= -5/14
The Final Answer
The final answer is -5/14. Therefore, the value of the expression (3/4 + 1/7)(-2/5) is -5/14.
