-1 3/4 = p - 1/2
HOW DO I FIGURE THIS OUT
To solve for p?
-1 3/4 = p - 1/2
Multiply through by 4
4(-7/4) = 4(p) - 4(1/2)
-7 = 4p - 2
-7+2 = 4p
-5=4p
p = -5/4 = -1 1/4
Check my work. Check my arithmetic.
-1 3/4 = p - 1/2
Add 1/2 to both sides of the equation.
-1 3/4 + 1/2 = p
- 1 1/4 = p
To solve the equation -1 3/4 = p - 1/2, you need to isolate the variable p. Follow these steps to solve the equation:
Step 1: Convert mixed numbers to improper fractions.
-1 3/4 can be written as -7/4.
Step 2: Combine the like terms on the right side of the equation.
-7/4 = p - 1/2
Step 3: Move the constant term (1/2) to the other side by adding it to both sides of the equation.
-7/4 + 1/2 = p
Step 4: Find a common denominator for the fractions and perform the addition.
To find a common denominator, multiply the denominators: 4 * 2 = 8.
-7/4 + 1/2 = -14/8 + 4/8 = -10/8
Step 5: Simplify the fraction.
The numerator (-10) and denominator (8) both have a common divisor of 2.
Divide both the numerator and denominator by 2: (-10/2) / (8/2) = -5/4
Therefore, the value of p is -5/4.