Fill in the missing fractions to create a true equation. /5 − 1/2 = 3/
transforming "/5 − 1/2 = 3/" into "5/1 - x = 3/1" is a completely bogus operation! You can't just take reciprocals of all the fractions when subtracting.
what you want is
x/5 - 1/2 = 3/y
The choices are
3/5 - 1/2 = 1/10 = 3/30
4/5 - 1/2 = 3/10
and so on.
Apologies for the confusion caused by the incorrect transformation. Let's solve the equation correctly.
The equation you provided is:
x/5 - 1/2 = 3/y
To find the missing fractions, we need to come up with values for x, y, and determine if the equation holds true.
Let's try substituting different values to see which combination satisfies the equation.
If we choose x = 3, y = 30, the equation becomes:
3/5 - 1/2 = 3/30
To solve this, we first need to find a common denominator for 5 and 2, which is 10. The equation becomes:
(6/10) - (5/10) = (1/10) = 3/30
So, the combination x = 3 and y = 30 results in a true equation.
Therefore, the missing fractions that create a true equation are x/5 - 1/2 = 3/y, where x = 3 and y = 30.
To find the missing fractions, we need to find a fraction that is subtracted from 5/1 (which is the same as 5) and results in a difference of 3/1 (which is the same as 3).
Let's call the missing fraction as x. So the equation becomes:
5/1 - x = 3/1
To make the denominators (1) on both sides match, we need to multiply both sides of the equation by 1. This does not change the value of the equation.
(5/1)(1) - x(1) = (3/1)(1)
5 - x = 3
Now, we want to isolate x, so we will move the 5 to the other side by subtracting 5 from both sides:
5 - x - 5 = 3 - 5
-x = -2
Since -x is the same as multiplying x by -1, we can rewrite the equation as:
-1 * x = -2
Dividing both sides by -1 gives us:
x = 2
Therefore, the missing fraction is 2.
Checking the equation:
5/1 - 2 = 3/1
5 - 2 = 3
3 = 3
The equation is true. So the missing fraction to create a true equation is 2.