What is the answer to (4p+3)/8 =(p+2)/4 ?

The answer to (4p+3)/8 =(p+2)/4 is p= 1/2

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(4p+3)/8 =(p+2)/4

\frac{4 p + 3}{8} = \frac{p + 2}{4}

p = \frac{1}{2}

Decimal Notation

p = 0.5

Solution steps

\frac{4 p + 3}{8} = \frac{p + 2}{4}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(4 p + 3) \cdot 4 = 8 (p + 2)

Expand

(4 p + 3) \cdot 4 : 16 p + 12

Expand

8 (p + 2) : 8 p + 16

16 p + 12 = 8 p + 16

Move

12

to the right side

16 p = 8 p + 4

Move

8 p

to the left side

8 p = 4

Divide both sides by

8

p = \frac{1}{2}

(x + 6) (2 x - 1) = 0

0 = (x - 2)^{2}

∣ x - 3 ∣ < 4

7 - (- 3) + (4 + 3)

\frac{65}{100} \cdot x + \frac{20}{100} \cdot 8 = \frac{85}{100} \cdot 8 + x

What is the answer to (4p+3)/8 =(p+2)/4 ?
The answer to (4p+3)/8 =(p+2)/4 is p= 1/2
Solve for p: (4p+3)/8 =(p+2)/4
The solution is p= 1/2