Solve the Fraction Addition: 7/12 + 3/4 Step by Step

To solve the problem of adding the fractions $\frac{7}{12}$ and $\frac{3}{4}$, we will follow these steps:

• Step 1: Find a common denominator.

• Step 2: Convert $\frac{3}{4}$ to an equivalent fraction with the denominator $12$.

• Step 3: Add the numerators of the fractions.

• Step 4: Simplify the resultant fraction if possible.

Now, let's perform the calculations:

Step 1: The denominator $12$ is already a common denominator for $\frac{7}{12}$, but we need to convert $\frac{3}{4}$ to have the same denominator. Since $4 \times 3 = 12$, multiply both the numerator and the denominator of $\frac{3}{4}$ by $3$:

$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$

Step 2: Now, add $\frac{7}{12}$ and $\frac{9}{12}$:

$\frac{7}{12} + \frac{9}{12} = \frac{7+9}{12} = \frac{16}{12}$

Step 3: Simplify $\frac{16}{12}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $4$:

$\frac{16}{12} = \frac{16 \div 4}{12 \div 4} = \frac{4}{3}$

Therefore, the solution to the problem is $\frac{4}{3}$, which corresponds to choice 4.