To solve for the missing fractions, we can use algebraic manipulation.
Let's solve for the missing fraction on the left side of the equation first:
Let the missing fraction on the left side be a/b.
a/b - 1/2 = 3/?
To find a common denominator, we multiply the denominators 5 and 2 together, giving us 10:
2a/10 - 5/10 = 3/?
Combining like terms, we get:
(2a - 5)/10 = 3/?
To isolate the missing fraction, we can cross-multiply:
3 * 10 = 2a - 5
30 = 2a - 5
Adding 5 to both sides:
35 = 2a
Dividing by 2:
a = 35/2 = 17.5
So, the missing fraction on the left side is 17.5/10.
Now, let's solve for the missing fraction on the right side of the equation:
17.5/10 - 1/2 = 3/?
To find a common denominator, we multiply the denominators 10 and 2 together, giving us 20:
(17.5)/20 - 10/20 = 3/?
Combining like terms, we get:
(17.5 - 10)/20 = 3/?
Simplifying the numerator:
7.5/20 = 3/?
Now, let's cross-multiply to isolate the missing fraction:
3 * 20 = 7.5
60 = 7.5
Dividing both sides by 7.5:
60/7.5 = 1
So, the missing fraction on the right side is 1/1, which can also be written as 1.
Therefore, the missing fractions to create a true equation are 17.5/10 - 1/2 = 3/1.
Question
Fill in the missing fractions to create a true equation.(1 point)
?/5 − 1/2 = 3/?
1 answer