What is the answer to 5/(2t)=4-4/(6t) ?

The answer to 5/(2t)=4-4/(6t) is t= 19/24

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5/(2t)=4-4/(6t)

\frac{5}{2 t} = 4 - \frac{4}{6 t}

t = \frac{19}{24}

Decimal Notation

t = 0.79166 \dots

Solution steps

\frac{5}{2 t} = 4 - \frac{4}{6 t}

Multiply by LCM

15 = 24 t - 4

Switch sides

24 t - 4 = 15

Move

4

to the right side

24 t = 19

Divide both sides by

24

t = \frac{19}{24}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = \frac{19}{24}

\frac{x}{x - 2} - 3 = \frac{6}{x - 2}

\frac{1}{x - 3} = 0

\frac{5}{2 x} + 1 = \frac{3 x}{3 x - 1}

y, \frac{x}{1 + y} - z = x

\frac{18}{x} = 3

What is the answer to 5/(2t)=4-4/(6t) ?
The answer to 5/(2t)=4-4/(6t) is t= 19/24
Solve for t: 5/(2t)=4-4/(6t)
The solution is t= 19/24