Solve: 1/4 + 3/4 + 3/20 - 5/10 Fraction Addition and Subtraction

To solve the problem, we will find the result of $\frac{1}{4}+\frac{3}{4}+\frac{3}{20}-\frac{5}{10}$ by following these steps:

• Step 1: Combine fractions with the same denominator.
• Step 2: Find a common denominator for the remaining fractions.
• Step 3: Perform addition and subtraction accordingly.

Now, let's work through each step:

Step 1: Combine $\frac{1}{4}$ and $\frac{3}{4}$:
Both fractions have the denominator of 4, so we add their numerators:
$\frac{1}{4} + \frac{3}{4} = \frac{4}{4} = 1$.

Step 2: Deal with the remaining fractions $\frac{3}{20}$ and $\frac{1}{2}$:
We can change $\frac{5}{10}$ to $\frac{1}{2}$ and find a common denominator of 20 for $\frac{1}{2}$ and $\frac{3}{20}$:
Convert $\frac{1}{2}$ to $\frac{10}{20}$.

Step 3: Now the expression is $1 + \frac{3}{20} - \frac{10}{20}$. Simplify the fraction part:
Subtract $\frac{10}{20}$ from $\frac{3}{20}$:
$\frac{3}{20} - \frac{10}{20} = \frac{-7}{20}$.

So the expression becomes $1 + \frac{-7}{20}$. Write 1 as a fraction: $\frac{20}{20}$.

Step 4: Now add $\frac{20}{20} + \frac{-7}{20}$:
$\frac{20}{20} + \frac{-7}{20} = \frac{13}{20}$.

Therefore, the solution to the problem is $\frac{13}{20}$. The correct answer choice is ($\frac{13}{20}$).