Question

Solve the equation. then check your solution. –8p = negative 3 and one-fourth a. 4 and three-fourths c. startfraction 13 over 32 endfraction b. negative startfraction 13 over 32 endfraction d. 26 please select the best answer from the choices provided a b c d

Answer 1

To solve -8p = -3¼, we convert the mixed number to an improper fraction and divide by -8, resulting in p = 13/32, which is positive because we're dividing by a negative number.

Step-by-step explanation:

To solve the equation –8p = -3¼, we need to isolate the variable p. We start by converting the mixed number to an improper fraction.

Negative 3 and one-fourth can be written as –13/4. The equation becomes –8p = –13/4. To find p, we divide both sides by -8. Dividing a fraction by a whole number is the same as multiplying by its reciprocal, so we get p = –13/4 × -1/8.

Next, we multiply the numerators and the denominators: p = (-13 × -1) / (4 × 8), which simplifies to p = 13 / 32. Since we are dividing by a negative number, the solution will be positive.

Therefore, the correct answer is b. -13/32, which is choice (b) among the provided options.