Solve 15/9t=13/4

$$1 \frac { 5 } { 9 } t = 1 \frac { 3 } { 4 }$$

Solve for t

$$t = \frac{9}{8} = 1\frac{1}{8} = 1.125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 9,4.

$$4\left(1\times 9+5\right)t=9\left(1\times 4+3\right)$$

Multiply 1 and 9 to get 9.

$$4\left(9+5\right)t=9\left(1\times 4+3\right)$$

Add 9 and 5 to get 14.

$$4\times 14t=9\left(1\times 4+3\right)$$

Multiply 4 and 14 to get 56.

$$56t=9\left(1\times 4+3\right)$$

Multiply 1 and 4 to get 4.

$$56t=9\left(4+3\right)$$

Add 4 and 3 to get 7.

$$56t=9\times 7$$

Multiply 9 and 7 to get 63.

$$56t=63$$

Divide both sides by 56.

$$t=\frac{63}{56}$$

Reduce the fraction \frac{63}{56} to lowest terms by extracting and canceling out 7.

$$t=\frac{9}{8}$$