Solve the Fraction Equation: 3/2 - ? = 1/2

Question

Complete the missing fraction
32——=12 \frac{3}{2}-_{——}=\frac{1}{2}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the unknown
00:03 If the denominator of the result equals the given denominator, then the unknown denominator is identical
00:11 Now let's calculate the unknown numerator using the numerators
00:16 This is the matching numerator
00:19 Any number divided by itself always equals 1
00:22 And this is the solution to the question

Step-by-Step Solution

To solve the problem, we start with the equation:

32x=12 \frac{3}{2} - x = \frac{1}{2}

We need to determine the value of x x . To do this, let's isolate x x on one side of the equation:

Step 1: Rearrange the equation to solve for x x :

x=3212 x = \frac{3}{2} - \frac{1}{2}

Step 2: Perform the subtraction. Since the denominators are the same, you can directly subtract the numerators:

x=312 x = \frac{3 - 1}{2}

Step 3: Simplify the expression:

x=22 x = \frac{2}{2}

x=1 x = 1

Thus, the missing fraction is 1 1 .

Answer

1 1