Question

multiply. write your answer as a fraction in
\\(\frac{14}{15} \times \frac{3}{4}\\)

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 $\frac{14}{15} \times \frac{3}{4}$, we multiply the numerators $14\times3$ and the denominators $15\times4$.
$\frac{14\times3}{15\times4}=\frac{42}{60}$

Step2: Simplify the fraction

We simplify $\frac{42}{60}$ by finding the greatest common divisor (GCD) of 42 and 60. The GCD of 42 and 60 is 6. We divide both the numerator and the denominator by 6.
$\frac{42\div6}{60\div6}=\frac{7}{10}$

Answer:

$\frac{7}{10}$