- 4/7 ( -11/2)
To subtract 11/2 from 4/7, we need to find a common denominator.
The common denominator of 2 and 7 is 14.
Rewriting 4/7 with a denominator of 14, we get (4/7)*(2/2) = 8/14.
Rewriting -11/2 with a denominator of 14, we get (-11/2)*(7/7) = -77/14.
Therefore, 4/7 - 11/2 = 8/14 - 77/14 = (8 - 77)/14 = -69/14.
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To solve the expression -4/7 * (-11/2), follow these steps:
Step 1: Multiply the numerators: -4 * -11 = 44
Step 2: Multiply the denominators: 7 * 2 = 14
Step 3: Write the product as a fraction: 44/14
Step 4: Simplify the fraction if possible: 44/14 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
Dividing 44 by 2 gives 22, and dividing 14 by 2 gives 7.
So, -4/7 * -11/2 = 22/7
To simplify the expression -4/7 * (-11/2), you can follow these steps:
Step 1: Multiply the numerators (top numbers) together.
-4 * -11 = 44
Step 2: Multiply the denominators (bottom numbers) together.
7 * 2 = 14
Step 3: Write the result from Step 1 as the new numerator and the result from Step 2 as the new denominator.
-4/7 * (-11/2) = 44/14
Step 4: Reduce the fraction to its simplest form, if possible.
44 and 14 are both divisible by 2.
44/2 = 22
14/2 = 7
So, the simplified form of -4/7 * (-11/2) is 22/7.