-4/7(-11/2)
To simplify the expression -4/7(-11/2), we need to multiply the numerators and denominators together.
(-4 * -11) / (7 * 2)
= 44 / 14
Now, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
44/14 simplifies to 22/7.
Therefore, -4/7(-11/2) simplifies to 22/7.
(-3/7)(-1/3)
To simplify the expression (-3/7)(-1/3), we multiply the numerators and denominators together.
(-3 * -1) / (7 * 3)
= 3/21
Now, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3.
3/21 simplifies to 1/7.
Therefore, (-3/7)(-1/3) simplifies to 1/7.
To simplify the given expression -4/7(-11/2), you can follow these steps:
Step 1: Multiply the fractions:
-11/2 x -4/7
Step 2: Multiply the numerators together, and multiply the denominators together:
(-11 x -4) / (2 x 7)
Step 3: Simplify the resulting fraction:
44 / 14
Step 4: Reduce the fraction to its simplest form:
44 ÷ 2 / 14 ÷ 2
Step 5: Simplify the fraction further:
22 / 7
So, -4/7(-11/2) simplifies to 22/7.
To solve this expression, we need to perform two operations: multiply and divide.
First, let's multiply -4/7 by -11/2. To multiply fractions, we simply multiply the numerators together and multiply the denominators together. So, (-4/7) * (-11/2) can be calculated as follows:
(-4) * (-11) = 44 (numerator)
(7) * (2) = 14 (denominator)
So, we have 44/14.
Now, we need to simplify the fraction. We can do this by reducing it to its lowest terms. To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and denominator by the GCD.
The GCD of 44 and 14 is 2. So, when we divide both the numerator and the denominator by 2, we get:
44/2 = 22 (numerator)
14/2 = 7 (denominator)
Therefore, -4/7 * -11/2 simplifies to 22/7.