Find the product.
4 over 7(−20 over 2)
-2 over 35
5 and 5 over 7
-5 and 5 over 7
-9 and 3 over 7
The product can be found by multiplying the whole numbers together and multiplying the fractions together separately.
For 4 over 7(−20 over 2):
4 * (-20) = -80
7 * 2 = 14
So, the product is -80 over 14, which can be simplified to -40 over 7 or -40/7.
For -2 over 35:
There is only one number, so the product is just -2 over 35 or -2/35.
For 5 and 5 over 7:
5 * (5/7) = 25/7 or 25 over 7.
For -5 and 5 over 7:
(-5) * (5/7) = -25/7 or -25 over 7.
For -9 and 3 over 7:
(-9) * (3/7) = -27/7 or -27 over 7.
To find the product, we will multiply all the given fractions.
First, let's simplify the fractions:
4/7 * (-20/2) = 4/7 * (-10) = -40/7
Next, let's multiply -40/7 by -2/35:
-40/7 * -2/35 = 80/245
Now, let's simplify 80/245:
80/245 = 16/49
Therefore, the product is 16/49.
To find the product of fractions, you need to multiply the numerators and multiply the denominators. Here's how you can find the product for each given expression:
1. 4/7 * (-20/2):
To multiply fractions, multiply the numerators (4 * -20 = -80) and multiply the denominators (7 * 2 = 14):
The product is -80/14.
2. -2/35:
The product is already given as -2/35, so no further calculations are needed.
3. 5 5/7:
First, convert the mixed number 5 5/7 into an improper fraction. Multiply the whole number (5) by the denominator (7) and add it to the numerator (5). This gives us: (5 * 7 + 5)/7 = 40/7.
The product is 40/7.
4. -5 5/7:
Similar to the previous example, convert -5 5/7 into an improper fraction. Multiply the whole number (-5) by the denominator (7) and subtract it from the numerator (5). This gives us: (5 - 5 * 7)/7 = (-30)/7.
The product is -30/7.
5. -9 3/7:
Convert -9 3/7 into an improper fraction. Multiply the whole number (-9) by the denominator (7) and subtract it from the numerator (3). This gives us: (3 - 9 * 7)/7 = (-60)/7.
The product is -60/7.