Find the product

4/7 (-20/2)

To find the product of the given fractions, we multiply the numerators together and then the denominators together.

The product of the numerators 4 and -20 is (-80), and the product of the denominators 7 and 2 is 14.

Therefore, 4/7 * (-20/2) = (-80)/14.

To find the product of fractions, you simply multiply the numerators together to get the numerator of the result, and multiply the denominators together to get the denominator of the result.

In this case, the fractions to multiply are 4/7 and -20/2.

Step 1: Multiply the numerators:
4 * -20 = -80

Step 2: Multiply the denominators:
7 * 2 = 14

Therefore, the product of 4/7 and -20/2 is -80/14.

However, to simplify the fraction, you can further simplify both the numerator and the denominator by finding their greatest common divisor (GCD) and dividing both by it.

For -80/14:

The GCD of 80 and 14 is 2.

Dividing both -80 and 14 by 2, we get -40 and 7 respectively.

So, the simplified product is -40/7.

To find the product of two fractions, you need to multiply their numerators together and then multiply their denominators together.

Given:
4/7 * (-20/2)

First, multiply the numerators together:
4 * (-20) = -80

Then, multiply the denominators together:
7 * 2 = 14

Therefore, the product of 4/7 and -20/2 is -80/14.

mixed number

To find the product of a mixed number and a fraction, you can first convert the mixed number into an improper fraction.

Let's say the mixed number is 4 1/2 and the fraction is -20/2.

Step 1: Convert the mixed number to an improper fraction:
4 1/2 can also be written as 4 + 1/2. To convert it to an improper fraction, multiply the whole number (4) by the denominator of the fraction (2), and add the numerator (1). This gives us (4*2 + 1) / 2 = 9/2.

So, we have 9/2 * (-20/2).

Step 2: Multiply the fractions:
To multiply fractions, multiply the numerators (9 * -20) and multiply the denominators (2 * 2):
(9 * -20) / (2 * 2) = -180/4.

Finally, we can simplify the resulting fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 4:
(-180/4) / 4 = -45/1.

Therefore, the product of 4 1/2 and -20/2 is -45/1, which can be written as -45.