Question

Обчислить | 7/12| + | - 5/9|

Answer 1

|7/12|+|-5/9| =47/36

Answer 2

To compute the absolute value of a fraction, we take the absolute value of both the numerator and the denominator separately. The absolute value of a number is always non-negative.

Let's calculate the given expression step by step:

Step 1: Calculate the absolute value of 7/12 Absolute value of 7/12 = |7/12| = 7/12 (since both the numerator and the denominator are positive)

Step 2: Calculate the absolute value of -5/9 Absolute value of -5/9 = |-5/9| = 5/9 (since the absolute value of a negative number is the positive value of that number)

Step 3: Add the absolute values |7/12| + |-5/9| = 7/12 + 5/9

Now, to add these fractions, we need to find a common denominator. The least common multiple (LCM) of 12 and 9 is 36.

Step 4: Convert both fractions to have a denominator of 36: |7/12| + |-5/9| = (7/12) * (3/3) + (5/9) * (4/4) = 21/36 + 20/36

Step 5: Add the fractions: |7/12| + |-5/9| = (21 + 20) / 36 = 41 / 36

However, since the absolute value of a number is always non-negative, the final result for this expression is:

|7/12| + |-5/9| = 41/36 ≈ 1.13889 (rounded to five decimal places).