Find the product

4/7 (-20/2)

3 answers

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.
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.
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