Solve 4t-8=84%-24%

$$4 t - 8 = 84 \% - 24 \%$$

Solve for t

$$t = \frac{43}{20} = 2\frac{3}{20} = 2.15$$

Steps for Solving Linear Equation

Reduce the fraction \frac{84}{100} to lowest terms by extracting and canceling out 4.

$$4t-8=\frac{21}{25}-\frac{24}{100}$$

Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$4t-8=\frac{21}{25}-\frac{6}{25}$$

Since \frac{21}{25} and \frac{6}{25} have the same denominator, subtract them by subtracting their numerators.

$$4t-8=\frac{21-6}{25}$$

Subtract 6 from 21 to get 15.

$$4t-8=\frac{15}{25}$$

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$4t-8=\frac{3}{5}$$

Add 8 to both sides.

$$4t=\frac{3}{5}+8$$

Convert 8 to fraction \frac{40}{5}.

$$4t=\frac{3}{5}+\frac{40}{5}$$

Since \frac{3}{5} and \frac{40}{5} have the same denominator, add them by adding their numerators.

$$4t=\frac{3+40}{5}$$

Add 3 and 40 to get 43.

$$4t=\frac{43}{5}$$

Divide both sides by 4.

$$t=\frac{\frac{43}{5}}{4}$$

Express \frac{\frac{43}{5}}{4} as a single fraction.

$$t=\frac{43}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$t=\frac{43}{20}$$