Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

add. \\(\\frac{4}{5} + \\frac{4}{5} + \\frac{4}{5} = \\square\\)

Question

add.
\\(\frac{4}{5} + \frac{4}{5} + \frac{4}{5} = \square\\)

Explanation:

Step1: Add the numerators

Since the denominators are the same ($5$), we add the numerators: $4 + 4 + 4 = 12$. So we have $\frac{4 + 4 + 4}{5} = \frac{12}{5}$.

Step2: Convert to mixed number (optional)

We can also convert $\frac{12}{5}$ to a mixed number. Dividing $12$ by $5$, we get $2$ with a remainder of $2$, so $\frac{12}{5} = 2\frac{2}{5}$. But both $\frac{12}{5}$ and $2\frac{2}{5}$ are correct, and $\frac{12}{5}$ is an improper fraction while $2\frac{2}{5}$ is a mixed number. For the addition of three identical fractions, we can also think of it as $3\times\frac{4}{5}=\frac{12}{5}$.

Answer:

$\frac{12}{5}$ (or $2\frac{2}{5}$)