Question

Solve the equation: q+3/4=12.

a) q=45
b) q=48
c) q=9
d) q=15

Answer 1

b is the answer. ........ .

Answer 2

To solve q + 3/4 = 12, subtract 3/4 from both sides and then simplify. The correct answer is q = 45, which means option a) is correct.

Step-by-step explanation:

To solve the equation q + 3/4 = 12, we start by subtracting 3/4 from both sides of the equation to isolate the variable q.

Here's the step-by-step process:

1. Subtract 3/4 from both sides: q + 3/4 - 3/4 = 12 - 3/4.
2. Simplify both sides: q = 12 - 3/4.
3. Convert 12 to 48/4 to have a common denominator and then subtract: q = 48/4 - 3/4.
4. Combine the fractions by subtracting the numerators: q = (48 - 3)/4.
5. Simplify the fraction: q = 45/4.
6. Multiply by the reciprocal to remove the fraction: q = 45/4 * 4/1.
7. Simplify the multiplication: q = 45.

Therefore, the correct answer is q = 45, which corresponds to option a).