38/15 - 4/3

Answer 1

To solve $\frac{38}{15}-\frac{4}{3}$, we need to find a common denominator.

The denominator of $\frac{38}{15}$ is 15, and the denominator of $\frac{4}{3}$ is 3. The least common multiple of 15 and 3 is 15.

Next, we will convert $\frac{4}{3}$ to a fraction with a denominator of 15:

$$\frac{4}{3}=\frac{4\times 5}{3\times 5}=\frac{20}{15}$$

Now we can rewrite the equation:

$$\frac{38}{15}-\frac{20}{15}$$

Now that both fractions have the same denominator, we can subtract them:

$$\frac{38-20}{15}=\frac{18}{15}$$

We can simplify $\frac{18}{15}$ by dividing both the numerator and the denominator by 3:

$$\frac{18÷3}{15÷3}=\frac{6}{5}$$

Thus, the final answer is:

$$\frac{6}{5}$$