The expression
y/x - 1/2
is equivalent to:
find the lowest common denominator of 2x, then
y/x - 1/2
=(2y-x)/(2x)
94(mn)
To simplify the expression y/x - 1/2, we need to find a common denominator for the fractions. The common denominator for 2 and x is 2x. So, let's rewrite the expression:
y/x - 1/2 = (2y/2x) - (x/2x)
Now, we can combine the fractions:
= (2y - x) / 2x
Therefore, the expression y/x - 1/2 is equivalent to (2y - x) / 2x.
To simplify the expression y/x - 1/2, we need to find a common denominator for the fractions and then combine them.
1. Find a common denominator:
The denominators in this case are x and 2. To find the common denominator, we need to find the least common multiple (LCM) of x and 2. Since 2 is a factor of any even number, we can conclude that the LCM of x and 2 is simply 2x.
2. Rewrite the fractions with the common denominator:
Multiply the numerator and denominator of the first fraction by 2:
(2y)/(2x) - 1/2
3. Combine the fractions:
Now that we have a common denominator, we can combine the fractions by subtracting the numerators:
(2y - x)/(2x) - 1/2
4. Simplify if necessary:
In this case, there is no further simplification possible because the two fractions have different denominators. Hence, the simplified form of the expression y/x - 1/2 is (2y - x)/(2x) - 1/2.