fill in the missing fractions to create a true equation.
?/5-1/2=3/?
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
To fill in the missing fractions and create a true equation, let's go step by step.
Step 1: Find a common denominator for both fractions on the left side of the equation. The smallest common multiple of 5 and 2 is 10.
Step 2: Rewrite the equation with the common denominator 10:
?/5 - 1/2 = 3/?
Step 3: To find the missing fraction on the left side of the equation, we need to find the numerator(?). Since the denominators on both sides are 10, the fractions must have equal denominators. Therefore, the missing fraction on the left side will also have a denominator of 10.
Step 4: Now, we have the equation:
?/10 - 1/2 = 3/?
Step 5: To proceed, let's eliminate the fractions by finding a common denominator for both fractions. The smallest common multiple of 10 and 2 is 10.
Step 6: Rewrite the equation with the common denominator 10:
?/10 - 5/10 = 3/?
Step 7: Combine the fractions on the left side of the equation:
(? - 5)/10 = 3/?
Step 8: The numerators on the two sides of the equation must be equal for the equation to be true. Therefore, set up an equation for the numerators:
? - 5 = 3
Step 9: Solve for the missing numerator:
? = 3 + 5
Step 10: Calculate:
? = 8
Therefore, the missing numerator is 8. The completed equation is:
8/10 - 1/2 = 3/?.
To find the missing fractions to create a true equation, let's solve the equation step by step.
Step 1: Simplify the given equation: ?/5 - 1/2 = 3/?
Step 2: Since the denominators are 5 and 2, we need a common denominator. The least common multiple (LCM) of 5 and 2 is 10.
Step 3: Multiply the first fraction by 2/2 and the second fraction by 5/5 to convert the denominators to 10.
(2/10) * (?/5) - (5/10) * (1/2) = 3/?
Step 4: Simplify the equation:
(2?/50) - (5/20) = 3/?
Step 5: Further simplify the equation:
?/25 - 1/4 = 3/?
Step 6: Since the fractions have different denominators again, we need a common denominator. The LCM of 25 and 4 is 100.
Step 7: Multiply the first fraction by 4/4 and the second fraction by 25/25 to convert the denominators to 100.
(4/100) * (?/25) - (25/100) * (1/4) = 3/?
Step 8: Simplify the equation:
(4?/2500) - (25/400) = 3/?
Step 9: Further simplify the equation:
?/625 - 25/400 = 3/?
Step 10: Subtract the fractions on the left side:
?/625 - 25/400 = 3/?
?/625 - 25/400 = 3/?
To complete the equation, we need additional information or values for the missing fractions. Without knowing the exact values of the missing fractions, we cannot provide a specific answer to fill in the missing fractions.
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.
answer was
2/5-1/2=3/10