Line 1 -33/10 - (-45.3 + 35.2) = -33/10 - (?)
Line 2 = ?
-33/10 - (-45.3 + 35.2) = -33/10 - (-10.1)
Using the distributive property, we can simplify the expression inside the parantheses:
-33/10 + 10.1
To add these fractions and decimals, we need a common denominator. The denominator for the fraction -33/10 is already 10, so we can write the decimal as a fraction with a denominator of 10 by multiplying both the numerator and denominator by 10:
-33/10 + 101/10
Now, we can add the fractions:
-33/10 + 101/10 = (101 - 33)/10 = 68/10
Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 2 in this case):
68/10 = 34/5
Therefore, the answer is 34/5.
To solve the equation, we can simplify the terms step-by-step.
Step 1:
In the parentheses, we have (-45.3 + 35.2). We can simplify this by adding the numbers inside the parentheses:
-45.3 + 35.2 = -10.1
Step 2:
Now, we rewrite the equation using the simplified value from Step 1 (-10.1):
-33/10 - (-10.1)
Step 3:
To subtract a negative number, we can change it to addition and change the sign of the number:
-33/10 + 10.1
Step 4:
To add fractions, we need a common denominator. In this case, we can use 10:
-33/10 + 10.1/1
Step 5:
To add fractions, we need to have the same denominator. We can convert the whole number 10.1 into a fraction by putting it over the same denominator 10:
-33/10 + 101/10
Step 6:
Now that the fractions have the same denominator, we can add the numerators and keep the denominator the same:
(-33 + 101)/10
Step 7:
Simplifying the numerator (-33 + 101), we get:
68/10
Step 8:
We can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2:
68/10 = 34/5
So, the final answer is 34/5.
Line 1 -33/10 - (-45.3 + 35.2) = -33/10 - 34/5
Line 2 = -33/10 + 34/5 = 34/5 - 33/10 = ?