Solve the Fraction Equation: Find the Missing Addend in 1/10 + ? = 3/4

To solve this problem, let's follow these steps:

• Convert the fractions to have a common denominator.
• Subtract to find the missing value.
• Simplify the resulting fraction.

Step 1: Start with the equation $\frac{1}{10} + ? = \frac{3}{4}$.
Step 2: Rewrite it to find the missing term: $? = \frac{3}{4} - \frac{1}{10}$.

Step 3: To subtract, find a common denominator. The least common multiple of 4 and 10 is 20:

• Convert $\frac{3}{4}$ to have a denominator of 20: $\frac{3}{4} = \frac{15}{20}$.
• Convert $\frac{1}{10}$ to have a denominator of 20: $\frac{1}{10} = \frac{2}{20}$.

Step 4: Subtract $\frac{2}{20}$ from $\frac{15}{20}$:
$\frac{15}{20} - \frac{2}{20} = \frac{13}{20}$.

Step 5: Verify with the provided choices. The correct answer choice is the fraction $\frac{13}{20}$, which matches choice 4.

Therefore, the solution to the problem is $\frac{13}{20}$.