Solve 276=4(11/2*3/4t)

$$276 = 4 ( 1 \frac { 1 } { 2 } \times \frac { 3 } { 4 } t )$$

Solve for t

$$t = \frac{184}{3} = 61\frac{1}{3} \approx 61.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$1104=8\left(1\times 2+1\right)\times \frac{3}{4}t$$

Multiply 1 and 2 to get 2.

$$1104=8\left(2+1\right)\times \frac{3}{4}t$$

Add 2 and 1 to get 3.

$$1104=8\times 3\times \frac{3}{4}t$$

Multiply 8 and 3 to get 24.

$$1104=24\times \frac{3}{4}t$$

Express 24\times \frac{3}{4} as a single fraction.

$$1104=\frac{24\times 3}{4}t$$

Multiply 24 and 3 to get 72.

$$1104=\frac{72}{4}t$$

Divide 72 by 4 to get 18.

$$1104=18t$$

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

$$18t=1104$$

Divide both sides by 18.

$$t=\frac{1104}{18}$$

Reduce the fraction \frac{1104}{18} to lowest terms by extracting and canceling out 6.

$$t=\frac{184}{3}$$