Question

(3/14-5/21p):3/7=3 1/4

Answer 1

Ответ:

p= - 99/20

Пошаговое объяснение:

(3/14 - 5/21 p)×7/3=3 1/4

(3/14 - 5/21p) × 7/3 = 13/4

1/2 - 5/9p = 13/4

18-20p=117

-20p=117 - 18

-20p = 99

-20p - 99/20 ОТВЕТ

Answer 2

Let's solve the equation step by step:

(3/14 - 5/21p) / (3/7) = 3 1/4

First, we'll simplify the right side, 3 1/4, into an improper fraction:

3 1/4 = (4 * 3 + 1)/4 = 13/4

Now, we have:

(3/14 - 5/21p) / (3/7) = 13/4

Next, let's simplify the equation further by multiplying both sides by the reciprocal of (3/7), which is (7/3):

[(3/14 - 5/21p) / (3/7)] * (7/3) = (13/4) * (7/3)

Now, simplify the left side:

(3/14 - 5/21p) * (7/3) = (13/4) * (7/3)

To clear the fraction on the left side, multiply both sides by the least common multiple (LCM) of the denominators, which is 42:

(3/14 - 5/21p) * (7/3) * 42 = (13/4) * (7/3) * 42

Now, simplify both sides further:

(3/14 - 5/21p) * 14 = (13/4) * 14

Now, we can cancel out the 14 on the left side:

3 - 10p = 13

Next, let's isolate the variable 'p' by moving the constant term to the other side:

-10p = 13 - 3

-10p = 10

Now, divide both sides by -10 to solve for 'p':

p = 10 / -10

p = -1

So, the solution to the equation is p = -1.