Answer:

1. 3/5 x 5/7 = 3/7

2. 8/15 x 7/18 = 28/135

Step-by-step explanation:

1. 3/5 x 5/7:

To multiply fractions, follow these steps:

Step 1: Multiply the numerators together (the top numbers of the fractions). In this case, 3 x 5 = 15.

Step 2: Multiply the denominators together (the bottom numbers of the fractions). In this case, 5 x 7 = 35.

Step 3: Write the product of the numerators over the product of the denominators. So, the result is 15/35.

Step 4: Simplify the fraction, if possible. In this case, both 15 and 35 are divisible by 5. Divide both numbers by 5 to get 3/7.

Therefore, 3/5 x 5/7 = 3/7.

2. 8/15 x 7/18:

Let's solve this using the same steps:

Step 1: Multiply the numerators: 8 x 7 = 56.

Step 2: Multiply the denominators: 15 x 18 = 270.

Step 3: Write the product of the numerators over the product of the denominators. So, the result is 56/270.

Step 4: Simplify the fraction, if possible. In this case, both 56 and 270 are divisible by 2. Divide both numbers by 2 to get 28/135.

Therefore, 8/15 x 7/18 = 28/135.

That's it! The solutions to the given multiplication problems are 3/7 and 28/135, respectively.