5. $$ \frac{5}{6} imes 3 \frac{1}{5}= $$

Question

5. $$ \frac{5}{6} 	imes 3 \frac{1}{5}= $$

UpStudy AI · Accepted Answer

1. Convert the mixed number to an improper fraction:

$$
3\frac{1}{5} = \frac{3 \times 5 + 1}{5} = \frac{16}{5}
$$

2. Multiply the fractions:

$$
\frac{5}{6} \times \frac{16}{5} = \frac{5 \times 16}{6 \times 5} = \frac{80}{30}
$$

3. Simplify the fraction by canceling the common factor $$5$$ and reducing:

$$
\frac{80 \div 10}{30 \div 10} = \frac{8}{3}
$$

Alternatively, you can simplify directly:

$$
\frac{5}{6} \times \frac{16}{5} = \frac{16}{6} = \frac{8}{3}
$$

Thus, the final result is:

$$
\frac{8}{3} \quad \text{or} \quad 2\frac{2}{3}
$$
The result is $$ \frac{8}{3} $$ or $$ 2\frac{2}{3} $$.

5. \( \frac{5}{6} \times 3 \frac{1}{5}= \)