Solve frac{t_{5}-32}{18}=-248.58/10

$$\frac { t _ { 5 } - 32 } { 18 } = - \frac { 248.58 } { 10 }$$

Solve for t_5

$$t_{5}=-415.444$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 90, the least common multiple of 18,10.

$$5\left(t_{5}-32\right)=-9\times 248.58$$

Use the distributive property to multiply 5 by t_{5}-32.

$$5t_{5}-160=-9\times 248.58$$

Multiply -9 and 248.58 to get -2237.22.

$$5t_{5}-160=-2237.22$$

Add 160 to both sides.

$$5t_{5}=-2237.22+160$$

Add -2237.22 and 160 to get -2077.22.

$$5t_{5}=-2077.22$$

Divide both sides by 5.

$$t_{5}=\frac{-2077.22}{5}$$

Expand \frac{-2077.22}{5} by multiplying both numerator and the denominator by 100.

$$t_{5}=\frac{-207722}{500}$$

Reduce the fraction \frac{-207722}{500} to lowest terms by extracting and canceling out 2.

$$t_{5}=-\frac{103861}{250}$$