Answer:
Explanation:
To solve the equation 3/2 + b = 7/4, you need to isolate the variable b. Here are the step-by-step instructions:
1. Begin by subtracting 3/2 from both sides of the equation:
3/2 + b - 3/2 = 7/4 - 3/2
This simplifies to:
b = 7/4 - 3/2
2. Now, we need to find a common denominator for the fractions on the right side of the equation. The least common multiple (LCM) of 4 and 2 is 4.
3. Rewrite 7/4 and 3/2 with the common denominator of 4:
b = 7/4 - 3/2 can be rewritten as:
b = 7/4 - 6/4
4. Subtract the fractions with the same denominator:
b = 7/4 - 6/4
This simplifies to:
b = 1/4
5. The final solution is b = 1/4.