Question

2/5-3/4|+1/3|,при x=-5/3

Answer 1

2/5-3/4|x+1/3|,при x=-5/3
2/5-3/4|-5/3+1/3|=2/5-3/4*4/3=2/5-1=-3/5

Answer 2

To evaluate the expression 2/5 - 3/4 + |x| where x = -5/3, follow these steps:

Step 1: Replace the value of x with -5/3. Step 2: Calculate the absolute value of -5/3.

Let's proceed with the calculations:

Step 1: Replace x with -5/3 in the expression:

2/5 - 3/4 + |x| = 2/5 - 3/4 + |-5/3|

Step 2: Calculate the absolute value of -5/3:

| -5/3 | = 5/3

Now, the expression becomes:

2/5 - 3/4 + 5/3

To add these fractions, we need to find a common denominator. The least common denominator (LCD) for 5, 4, and 3 is 60.

Step 3: Convert all fractions to have a denominator of 60:

2/5 = (2 * 12)/(5 * 12) = 24/60 3/4 = (3 * 15)/(4 * 15) = 45/60 5/3 = (5 * 20)/(3 * 20) = 100/60

Now the expression becomes:

24/60 - 45/60 + 100/60

Step 4: Combine the fractions:

(24 - 45 + 100)/60 = 79/60

So, the final result when x = -5/3 is:

2/5 - 3/4 + |x| = 79/60 or 1 19/60 (in mixed fraction).