Determine the product (-2 7/8) (-4 4/5
13 4/5
Change them to improper fractions with a common denominator multiply and then the answer should be positive
-23/8 * - 24/5 = ?
What answer do you get?
(-2 7/8)(-4 4/5) = (-23/8)(-24/5) = 552/40 = 13.8.
To find the product of (-2 7/8) and (-4 4/5), we need to follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-2 7/8 can be converted to an improper fraction as follows:
(-2) * 8 + 7 = -16 + 7 = -9
So, -2 7/8 becomes -9/8.
Similarly, -4 4/5 can be converted to an improper fraction as follows:
(-4) * 5 + 4 = -20 + 4 = -16
So, -4 4/5 becomes -16/5.
Step 2: Multiply the two fractions.
(-9/8) * (-16/5) can be calculated as follows:
(-9 * -16) / (8 * 5) = 144/40.
Step 3: Simplify the result, if possible.
To simplify the fraction, we can find the greatest common divisor (GCD) and divide both the numerator and the denominator by it. In this case, the GCD of 144 and 40 is 8.
Dividing both the numerator and the denominator by 8, we get:
144/40 = (144 ÷ 8) / (40 ÷ 8) = 18/5.
Therefore, the product of (-2 7/8) and (-4 4/5) is 18/5.