Solve for p. 2/3p = 8/9 p = □

Isolate variable p: Isolate the variable p by multiplying both sides of the equation by the reciprocal of 2/3. To isolate p, we multiply both sides by 3/2: (2/3)p * (3/2) = (8/9) * (3/2)Perform multiplication: Perform the multiplication on both sides. On the left side, (2/3) * (3/2) = 1, so we are left with p. On the right side, (8/9) * (3/2) = (8 * 3) / (9 * 2) = 24 / 18.Simplify fraction: Simplify the fraction on the right side. 24 / 18 can be simplified by dividing both numerator and denominator by 6, which gives us 4 / 3. So, p = 4 / 3.

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for p.

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\frac{2}{3}p = \frac{8}{9}

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p=\square

Isolate variable p: Isolate the variable $p$ by multiplying both sides of the equation by the reciprocal of $\frac{2}{3}$ . To isolate $p$ , we multiply both sides by $\frac{3}{2}$ : \left(\frac{$2$}{$3$}\right)p \times \left(\frac{$3$}{$2$}\right) = \left(\frac{$8$}{$9$}\right) \times \left(\frac{$3$}{$2$}\right)
Perform multiplication: Perform the multiplication on both sides.\(\newlineOn the left side, $(\frac{2}{3}) \times (\frac{3}{2}) = 1$ , so we are left with $p$ . $\newline$ On the right side, $(\frac{8}{9}) \times (\frac{3}{2}) = (\frac{8 \times 3}{9 \times 2}) = \frac{24}{18}$ .
Simplify fraction: Simplify the fraction on the right side. $\newline$ $\frac{24}{18}$ can be simplified by dividing both numerator and denominator by $6$ , which gives us $\frac{4}{3}$ . $\newline$ So, $p = \frac{4}{3}$ .