Question

|5/12|-|-1 3/4|+1 1/3

Answer 1

$\bigg|\dfrac5{12}\bigg|-\bigg|-1\dfrac34\bigg|+1\dfrac13=\dfrac5{12}-\dfrac74+1\dfrac13=\dfrac5{12}-\dfrac{21}{12}+1\dfrac4{12}=-\dfrac{16}{12}+1\dfrac4{12}=\\\\=-1\dfrac4{12}+1\dfrac4{12}=(-1+1)+\bigg(-\dfrac4{12}+\dfrac4{12}\bigg)=(1-1)+\bigg(\dfrac4{12}-\dfrac4{12}\bigg)=0$

Answer 2

To calculate the expression |5/12| - |-1 3/4| + 1 1/3, you can follow these steps:

1. Calculate the absolute value of 5/12: |5/12| = 5/12

2. Calculate the absolute value of -1 3/4: |-1 3/4| = 1 3/4

3. Add 1 1/3 to the result from step 2: 1 3/4 + 1 1/3 = (7/4) + (4/3)

To add these fractions, find a common denominator, which is 12: (7/4) + (4/3) = (21/12) + (16/12)

4. Add the fractions: (21/12) + (16/12) = (21 + 16)/12 = 37/12

5. Now, subtract the result from step 3 from the result of step 1: (5/12) - (37/12)

6. Subtract the fractions: (5/12) - (37/12) = (5 - 37)/12 = -32/12

7. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4: (-32/12) ÷ (4/4) = -8/3

So, the final result is -8/3.