What is the answer to (5t)/6-2 1/2 = 3/4 ?

The answer to (5t)/6-2 1/2 = 3/4 is t=3 9/10

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(5t)/6-2 1/2 = 3/4

\frac{5 t}{6} - 2 \frac{1}{2} = \frac{3}{4}

t = 3 \frac{9}{10}

Decimal Notation

t = 3.9

Solution steps

\frac{5 t}{6} - 2 \frac{1}{2} = \frac{3}{4}

Convert mixed numbers to improper fractions:

2 \frac{1}{2} = \frac{5}{2}

\frac{5 t}{6} - \frac{5}{2} = \frac{3}{4}

Move

\frac{5}{2}

to the right side

\frac{5 t}{6} = \frac{13}{4}

Multiply both sides by

6

5 t = \frac{39}{2}

Divide both sides by

5

t = \frac{39}{10}

Convert improper fractions to mixed numbers:

\frac{39}{10} = 3 \frac{9}{10}

t = 3 \frac{9}{10}

- 2 (- 3 h - 5) = 28

- x + 6 = - 2 (x + 2) - 5

4 (3 x - 5) = 6 x - 2

\frac{x}{4} + 2 = 3

2 x + 20 = 5

What is the answer to (5t)/6-2 1/2 = 3/4 ?
The answer to (5t)/6-2 1/2 = 3/4 is t=3 9/10
Solve for t: (5t)/6-2 1/2 = 3/4
The solution is t=3 9/10