Solve for p. p − 5/3 = 3 p = _____

Isolate variable p: Add 5/3 to both sides of the equation to isolate the variable p. p - 5/3 + 5/3 = 3 + 5/3 Simplify the left side by canceling out -5/3 and 5/3. p = 3 + 5/3Combine terms: Convert the whole number 3 to a fraction with the same denominator as 5/3 to combine the terms. p = 3/1 * 3/3 + 5/3 p = 9/3 + 5/3Add fractions: Add the fractions on the right side of the equation. p = 9/3 + 5/3 p = (9 + 5) / 3 p = 14/3

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Math Problems

Grade 8

Solve equations: mixed review

Full solution

Q. Solve for

p

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p - \frac{5}{3} = 3

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p =

\_\_\_\_\_

Isolate variable $p$ : Add $\frac{5}{3}$ to both sides of the equation to isolate the variable $p$ .
$p - \frac{5}{3} + \frac{5}{3} = 3 + \frac{5}{3}$
Simplify the left side by canceling out $-\frac{5}{3}$ and $\frac{5}{3}$ .
$p = 3 + \frac{5}{3}$
Combine terms: Convert the whole number $3$ to a fraction with the same denominator as $\frac{5}{3}$ to combine the terms. $\newline$ $p = \frac{3}{1} \times \frac{3}{3} + \frac{5}{3}$ $\newline$ $p = \frac{9}{3} + \frac{5}{3}$
Add fractions: Add the fractions on the right side of the equation. $\newline$ $p = \frac{9}{3} + \frac{5}{3}$ $\newline$ $p = \frac{(9 + 5)}{3}$ $\newline$ $p = \frac{14}{3}$