Question

multiply. write your answer as a fraction in simplest form.
\\(\frac{7}{6} \times \frac{3}{5}\\)

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions $\frac{a}{b} \times \frac{c}{d}$, we use the rule $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$. So for $\frac{7}{6} \times \frac{3}{5}$, we multiply the numerators $7$ and $3$, and the denominators $6$ and $5$.
$$\frac{7 \times 3}{6 \times 5} = \frac{21}{30}$$

Step2: Simplify the fraction

We can simplify $\frac{21}{30}$ by finding the greatest common divisor (GCD) of $21$ and $30$. The GCD of $21$ and $30$ is $3$. We divide both the numerator and the denominator by $3$.
$$\frac{21 \div 3}{30 \div 3} = \frac{7}{10}$$

Answer:

$\frac{7}{10}$