Let's assume the missing fractions are represented by a/b and c/d.
The equation ?/5 - 1/2 = 3/?
Multiplying both sides of the equation by the LCM (Least Common Multiple) of the denominators will help us eliminate the denominators.
LCM(5, 2) = 10.
So, multiplying all the terms by 10, we get:
(10/5) - (10/2) = (3/?) * 10
2 - 5 = (3/?) * 10
-3 = 30/?
Now we can cross-multiply:
-3 * ? = 30
-3? = 30
Dividing both sides by -3:
-3?/-3 = 30/-3
? = -10
Therefore, the missing fractions are -10/5 and -10/2.
-10/5 - 1/2 = 3/10
fill in the missing fractions to create a true equation.
?/5-1/2=3/?
3 answers
answer was
2/5-1/2=3/10
2/5-1/2=3/10
Apologies for the confusion. Let's solve the equation using your answer:
Step 1: Simplify the given equation: 2/5 - 1/2 = 3/10
To find the missing fraction, let's assume it is represented by a/b.
Step 2: The denominators on both sides are 5 and 2, so the denominator for the missing fraction will be the LCM of 5 and 2, which is 10.
Step 3: Rewrite the equation with the common denominator 10:
2/5 - 1/2 = 3/10
Step 4: To proceed, let's eliminate the fractions by multiplying each term by 10:
10 * (2/5) - 10 * (1/2) = 10 * (3/10)
Step 5: Simplify the equation:
4 - 5 = 3
Step 6: Solve for the missing numerator:
-1 = 3
Since -1 is not equal to 3, this equation does not have a solution.
Therefore, the given equation 2/5 - 1/2 = 3/10 does not have a true solution when the missing fractions are in the form a/b.
Step 1: Simplify the given equation: 2/5 - 1/2 = 3/10
To find the missing fraction, let's assume it is represented by a/b.
Step 2: The denominators on both sides are 5 and 2, so the denominator for the missing fraction will be the LCM of 5 and 2, which is 10.
Step 3: Rewrite the equation with the common denominator 10:
2/5 - 1/2 = 3/10
Step 4: To proceed, let's eliminate the fractions by multiplying each term by 10:
10 * (2/5) - 10 * (1/2) = 10 * (3/10)
Step 5: Simplify the equation:
4 - 5 = 3
Step 6: Solve for the missing numerator:
-1 = 3
Since -1 is not equal to 3, this equation does not have a solution.
Therefore, the given equation 2/5 - 1/2 = 3/10 does not have a true solution when the missing fractions are in the form a/b.