Solution:

To evaluate the expression -3/5 × 10/7, we need to multiply the two fractions together. Let's break down the steps to solve this problem:

Step 1: Multiply the numerators
When multiplying fractions, we multiply the numerators (the top numbers) together. In this case, the numerators are -3 and 10.

-3 × 10 = -30

Step 2: Multiply the denominators
Similarly, we multiply the denominators (the bottom numbers) together. Here, the denominators are 5 and 7.

5 × 7 = 35

Step 3: Simplify the resulting fraction
After performing the multiplication, we obtain the fraction -30/35. However, this fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, and dividing both by it.

The GCD of 30 and 35 is 5, so we divide both the numerator and denominator by 5.

-30 ÷ 5 = -6
35 ÷ 5 = 7

Therefore, the simplified fraction is -6/7.

Final Answer:
-3/5 × 10/7 = -6/7

-6/7