Use properties of operations and rules for multiplying signed numbers to multiply 2\5 by 3\10

. Write the answer in simplest form.

To multiply 2/5 by 3/10, we can follow these steps:

Step 1: Multiply the numerators (the numbers on the top) together. 2 x 3 = 6.
Step 2: Multiply the denominators (the numbers on the bottom) together. 5 x 10 = 50.
Step 3: Put the multiplied numerator over the multiplied denominator. The answer is 6/50.

To simplify this fraction, we can find the greatest common factor (GCF) of 6 and 50, which is 2.
Step 4: Divide both the numerator and denominator by the GCF, which is 2. 6/50 simplifies to 3/25.

Therefore, 2/5 multiplied by 3/10 is equal to 3/25.

To multiply 2/5 by 3/10, we can multiply the numerators together and the denominators together.

2/5 * 3/10

= (2 * 3) / (5 * 10)

= 6/50

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2.

So, dividing both 6 and 50 by 2, we get:

6/50 = 3/25

Therefore, the product of 2/5 and 3/10, in simplest form, is 3/25.