Find the product.
4/7(−20/2)
(1 point)
Responses
−2/35
negative 2 over 35
5 5/7
5 and 5 sevenths
−5 5/7
negative 5 and 5 sevenths
−9 3/7
-9 3/7
To find the product of 4/7 and -20/2, we need to multiply the two fractions together.
Step 1: Multiply the numerators (the top numbers) together: 4 × -20 = -80.
Step 2: Multiply the denominators (the bottom numbers) together: 7 × 2 = 14.
Step 3: Combine the results from steps 1 and 2 to form the product:
-80/14.
Now, simplify the fraction if possible:
Step 4: Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:
-80 ÷ 2 / 14 ÷ 2 = -40/7.
Therefore, the product of 4/7 and -20/2 is -40/7.
To find the product of 4/7 and -20/2, you multiply the numerators together and multiply the denominators together.
(4/7) * (-20/2) = (4 * -20) / (7 * 2) = -80 / 14
Simplifying the fraction, we get:
-80/14 = -40/7 = -5 5/7
Therefore, the product of 4/7 and -20/2 is -5 5/7.