To solve this expression, we will first simplify each operation individually and then combine them at the end.
Simplify (-5/12 - 3/4): To subtract fractions, we need to have a common denominator. The common denominator for 12 and 4 is 12. (-5/12) - (3/4) = (-51)/(121) - (33)/(43) = -5/12 - 9/12 = (-5 - 9)/12 = -14/12 = -7/6
Simplify 2 1/3 + 5 1/3: Convert the mixed numbers to improper fractions and then add. 2 1/3 = (23 + 1)/3 = 7/3 5 1/3 = (53 + 1)/3 = 16/3 Adding the fractions: 7/3 + 16/3 = (7 + 16)/3 = 23/3
Simplify 5 1/3 0.75: Convert the mixed number to an improper fraction and multiply. 5 1/3 = 16/3 16/3 0.75 = 16/3 * 3/4 = 48/12 = 4
Now combine the simplified operations: -7/6 + 23/3 4 = -7/6 + 92/3 To add or subtract fractions, we need a common denominator, which in this case is 6. (-7/6)2/2 + (92/3)*2/2 = -14/12 + 184/12 = 170/12 = 85/6
To solve this expression, we will first simplify each operation individually and then combine them at the end.
Simplify (-5/12 - 3/4):
To subtract fractions, we need to have a common denominator. The common denominator for 12 and 4 is 12.
(-5/12) - (3/4) = (-51)/(121) - (33)/(43)
= -5/12 - 9/12
= (-5 - 9)/12
= -14/12
= -7/6
Simplify 2 1/3 + 5 1/3:
Convert the mixed numbers to improper fractions and then add.
2 1/3 = (23 + 1)/3 = 7/3
5 1/3 = (53 + 1)/3 = 16/3
Adding the fractions: 7/3 + 16/3 = (7 + 16)/3 = 23/3
Simplify 5 1/3 0.75:
Convert the mixed number to an improper fraction and multiply.
5 1/3 = 16/3
16/3 0.75 = 16/3 * 3/4 = 48/12 = 4
Now combine the simplified operations:
-7/6 + 23/3 4
= -7/6 + 92/3
To add or subtract fractions, we need a common denominator, which in this case is 6.
(-7/6)2/2 + (92/3)*2/2
= -14/12 + 184/12
= 170/12
= 85/6
Therefore, the result of the expression is 85/6.