To find the missing value, we need to simplify the given expression:
-33/10 - (-45.3 + 35.2)
First, we simplify within the parentheses:
-33/10 - (-10.1)
Using the double negative property, we can rewrite the expression as:
-33/10 + 10.1
To add these fractions, we need a common denominator, which in this case is 10. Multiplying the numerator and denominator of -33/10 by 1 gives -33/10.
-33/10 + 10.1
We can write 10.1 as a fraction by recognizing that 10.1 = 101/10.
-33/10 + 101/10
Simplifying gives:
(101 - 33)/10
68/10
This fraction can be simplified by dividing the numerator and the denominator by their greatest common divisor (GCD). The GCD of 68 and 10 is 2.
68/10 = 34/5
Therefore, the missing value is 34/5.
-33/10 - (-45.3 + 35.2) = -33/10 - (?)
=7
1 answer