Solve the following exercise:
109−54+21=?
To solve the expression 109−54+21, we first seek a common denominator for the fractions. The denominators are 10, 5, and 2.
The least common multiple of these numbers is 10, as it is the smallest number that all denominators divide perfectly.
- Convert 54 to a fraction with a denominator of 10:
54=5×24×2=108.
- Convert 21 to a fraction with a denominator of 10:
21=2×51×5=105.
Now, the expression becomes 109−108+105.
Perform the operations:
- Subtract: 109−108=101.
- Add: 101+105=106.
Thus, the value of the expression is 106.
The correct answer is 106.