Like 1: -33/10 - (-45.3 plus 35.2) = -33/10 -
(-45.3 + 35.2) = -33/10 - (-10.1) = -33/10 + 10.1 = (-33 + 101)/10 = 68/10 or 6.8
To solve the equation -33/10 - (-45.3 + 35.2), we need to simplify the expressions inside the parentheses before performing any further calculations.
Step 1: Simplify the expression inside the parentheses.
-45.3 + 35.2 = -10.1
Now that we have simplified the expression inside the parentheses, we can substitute the result into the original equation.
Step 2: Substitute the result into the equation.
-33/10 - (-10.1)
To subtract a negative number, we can change it to addition by reversing the sign.
Step 3: Change the subtraction to addition.
-33/10 + 10.1
Since the two numbers have different denominators, we need to find a common denominator.
Step 4: Find a common denominator.
The common denominator for 10 and 1 is 10.
Step 5: Convert both numbers to have the same denominator.
-33/10 + (10.1 * 10)/10
-33/10 + 101/10
Now that the two fractions have the same denominator, we can add them together.
Step 6: Add the fractions.
-33/10 + 101/10 = (-33 + 101)/10 = 68/10
Finally, we can simplify the fraction if needed.
Step 7: Simplify the fraction.
68/10 = 34/5
Therefore, the solution to the equation -33/10 - (-45.3 + 35.2) is 34/5.