express 5/2 x (1/11 - 1/2) as a single fraction
5/2 x (1/11 - 1/2)
5/2 (2/22 - 11/22)
5/2 (-9/22) = -45/44
To express 5/2 x (1/11 - 1/2) as a single fraction, you need to simplify the expression by finding a common denominator for the fractions involved. Here's how you can do it step by step:
Step 1: Simplify the subtraction within the parentheses.
1/11 - 1/2
To subtract fractions, you need to have a common denominator. The least common multiple (LCM) of 11 and 2 is 22. Therefore, both fractions need to have a denominator of 22.
Rewriting the fractions with the common denominator:
1/11 = (1/11) * (2/2) = 2/22
1/2 = (1/2) * (11/11) = 11/22
Now we can rewrite the expression:
5/2 x (1/11 - 1/2) = 5/2 x (2/22 - 11/22)
Step 2: Simplify the expression within the parentheses and multiply the fractions.
2/22 - 11/22 = (2 - 11) / 22 = -9/22
Now we have:
5/2 x (-9/22)
Step 3: Multiply the fractions.
To multiply fractions, you simply multiply the numerators together and the denominators together.
(5 x -9) / (2 x 22) = -45/44
So, the expression 5/2 x (1/11 - 1/2) can be simplified to -45/44.