Solve: Adding Mixed Numbers 1⅔ + 1⅓ Step by Step

To solve this problem, we will proceed with the following steps:

• Step 1: Identify the whole and fractional parts of each mixed number.

• Step 2: Convert the fractions to have a common denominator.

• Step 3: Add the fractional parts.

• Step 4: Add the whole numbers.

• Step 5: Combine the results to obtain the total.

Now, let's go through the solution:

Step 1: Separate the mixed numbers into whole and fractional parts:

• $1\frac{2}{3} = 1 + \frac{2}{3}$

• $1\frac{2}{6} = 1 + \frac{2}{6}$

Step 2: Convert the fractions $\frac{2}{3}$ and $\frac{2}{6}$ to have a common denominator. The least common multiple of 3 and 6 is 6.

Convert $\frac{2}{3}$:

$\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$

Step 3: Add the fractional parts:

$\frac{4}{6} + \frac{2}{6} = \frac{4+2}{6} = \frac{6}{6} = 1$

Step 4: Add the whole number parts:

$1 + 1 = 2$

Step 5: Combine the whole and fractional results:

Adding the whole sum and fractional sum gives: $2 + 1 = 3$

Therefore, the sum of $1\frac{2}{3} + 1\frac{2}{6}$ is $3$.