Solve 5/6:2/3=quad2/3t

$$\frac { 5 } { 6 } : \frac { 2 } { 3 } = \quad \frac { 2 } { 3 } t$$

Solve for t

$$t = \frac{15}{8} = 1\frac{7}{8} = 1.875$$

Steps for Solving Linear Equation

Divide \frac{5}{6} by \frac{2}{3} by multiplying \frac{5}{6} by the reciprocal of \frac{2}{3}.

$$\frac{5}{6}\times \frac{3}{2}=\frac{2}{3}t$$

Multiply \frac{5}{6} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{6\times 2}=\frac{2}{3}t$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 2}.

$$\frac{15}{12}=\frac{2}{3}t$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}=\frac{2}{3}t$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{2}{3}t=\frac{5}{4}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$t=\frac{5}{4}\times \frac{3}{2}$$

Multiply \frac{5}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$t=\frac{5\times 3}{4\times 2}$$

Do the multiplications in the fraction \frac{5\times 3}{4\times 2}.

$$t=\frac{15}{8}$$