Simplify the expression $\frac{3}{5} \times \frac{4}{7}$.

To simplify the [removed]3/5) × (4/7), we can follow these steps: 1. Multiply the numerators together: 3 × 4 = 12 2. Multiply the denominators together: 5 × 7 = 35 Therefore, the expression simplifies to 12/35.

To simplify the expression 3⁵/4⁷, we delve into the magical realm of fractions, where numbers take refuge in the embrace of division. Imagine 3 residing atop a sturdy platform of 5s, its domain firmly established. Below, in the bustling marketplace of 7s, scurries 4, seeking refuge from the onslaught of its brethren. Our task is to bridge these realms, to unite the numerator and denominator in a harmonious dance. First, we recognize a common factor of 3 lurking within the numerator. Like a skilled architect, we extract this 3, leaving behind a more manageable 1/5. Now, our gaze turns to the denominator, where 4, disguised as the lone ranger, stands defiant. But wait! Closer inspection reveals a cunning 2 concealed within its cloak. With a deft move, we peel back the disguise, revealing a more approachable 2/7. Thus, our original expression has transformed into a simpler form: (1/5) x (2/7). Multiplication in the realm of fractions is a gentle waltz, where numerators pirouette with numerators and denominators twirl with denominators. We simply join hands, 1 with 2 and 5 with 7, creating a graceful new fraction: 2/35. And there you have it! The once-complex expression has yielded to the power of simplification, revealing its true essence as 2/35. A testament to the elegance of mathematics, where numbers whisper secrets and fractions unveil hidden harmonies.

To simplify the expression \( \frac{3}{5} \times \frac{4}{7} \), we can multiply the numerators together and the denominators together. Multiplying the numerators: \( 3 \times 4 = 12 \) Multiplying the denominators: \( 5 \times 7 = 35 \) Therefore, \( \frac{3}{5} \times \frac{4}{7} = \frac{12}{35} \).

To multiply fractions, simply multiply the numerators together to get the new numerator, and multiply the denominators to get the new denominator: $\frac{3}{5} \times \frac{4}{7} = \frac{3 \times 4}{5 \times 7} = \frac{12}{35}$ So, the simplified expression is $\frac{12}{35}$.