Solve the Fraction Expression: 9/10 - 4/5 + 1/2

Solve the following exercise:

$\frac{9}{10}-\frac{4}{5}+\frac{1}{2}=\text{?}$

To solve the expression $\frac{9}{10} - \frac{4}{5} + \frac{1}{2}$, 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 $\frac{4}{5}$ to a fraction with a denominator of 10: $\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}$.
• Convert $\frac{1}{2}$ to a fraction with a denominator of 10: $\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}$.

Now, the expression becomes $\frac{9}{10} - \frac{8}{10} + \frac{5}{10}$.

Perform the operations:

• Subtract: $\frac{9}{10} - \frac{8}{10} = \frac{1}{10}$.
• Add: $\frac{1}{10} + \frac{5}{10} = \frac{6}{10}$.

Thus, the value of the expression is $\frac{6}{10}$.

The correct answer is $\frac{6}{10}$.