Find the product of
4 over 7(−20 over 2)
A) -2 over 35
B) 5 and 5 over 7
C) -5 and 5 over 7
D) -9 and 3 over 7
To find the product of two fractions, you simply multiply the numerators together and the denominators together.
The given expression is: 4/7 * (-20/2)
= (4 * -20) / (7 * 2)
= -80/14
To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 2:
= -40/7
So, the product of 4/7 * (-20/2) is -40/7, which is equivalent to option C) -5 and 5/7.
To find the product of fractions, you multiply the numerators together and the denominators together.
First, multiply the numerators: 4 × (-20) = -80.
Then, multiply the denominators: 7 × 2 = 14.
Therefore, the product of 4 over 7 and -20 over 2 is -80 over 14.
Simplifying this fraction gives us: -80 over 14 = -40 over 7.
So, the correct answer is D) -9 and 3 over 7.
To find the product of two fractions, you simply multiply their numerators together and their denominators together. Let's break down the problem step by step:
First, let's find the product of the numerators:
4 * -20 = -80
Next, let's find the product of the denominators:
7 * 2 = 14
So, the fraction part of the product is -80 over 14.
Now, let's simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is 2:
-80 ÷ 2 = -40
14 ÷ 2 = 7
So, the simplified fraction is -40 over 7.
Therefore, the product of 4 over 7 and -20 over 2 is -40 over 7.
Comparing this result with the given options:
A) -2 over 35 - This is not the correct answer.
B) 5 and 5 over 7 - This is not the correct answer.
C) -5 and 5 over 7 - This is not the correct answer.
D) -9 and 3 over 7 - This is not the correct answer.
None of the given options match the product -40 over 7.