Solve 3/4=45-5k/1.6

$$\frac{ 3 }{ 4 } = \frac{ 45-5k }{ 1.6 }$$

Solve for k

$$k=8.76$$

Steps for Solving Linear Equation

Multiply both sides by 1.6.

$$\frac{3}{4}\times 1.6=45-5k$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}\times \frac{8}{5}=45-5k$$

Multiply \frac{3}{4} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 8}{4\times 5}=45-5k$$

Do the multiplications in the fraction \frac{3\times 8}{4\times 5}.

$$\frac{24}{20}=45-5k$$

Reduce the fraction \frac{24}{20} to lowest terms by extracting and canceling out 4.

$$\frac{6}{5}=45-5k$$

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

$$45-5k=\frac{6}{5}$$

Subtract 45 from both sides.

$$-5k=\frac{6}{5}-45$$

Convert 45 to fraction \frac{225}{5}.

$$-5k=\frac{6}{5}-\frac{225}{5}$$

Since \frac{6}{5} and \frac{225}{5} have the same denominator, subtract them by subtracting their numerators.

$$-5k=\frac{6-225}{5}$$

Subtract 225 from 6 to get -219.

$$-5k=-\frac{219}{5}$$

Divide both sides by -5.

$$k=\frac{-\frac{219}{5}}{-5}$$

Express \frac{-\frac{219}{5}}{-5} as a single fraction.

$$k=\frac{-219}{5\left(-5\right)}$$

Multiply 5 and -5 to get -25.

$$k=\frac{-219}{-25}$$

Fraction \frac{-219}{-25} can be simplified to \frac{219}{25} by removing the negative sign from both the numerator and the denominator.

$$k=\frac{219}{25}$$