Solve 42/5=F-32/9

$$\frac { 42 } { 5 } = \frac { F - 32 } { 9 }$$

Solve for F

$$F = \frac{538}{5} = 107\frac{3}{5} = 107.6$$

Steps for Solving Linear Equation

Multiply both sides by 9.

$$\frac{42}{5}\times 9=F-32$$

Express \frac{42}{5}\times 9 as a single fraction.

$$\frac{42\times 9}{5}=F-32$$

Multiply 42 and 9 to get 378.

$$\frac{378}{5}=F-32$$

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

$$F-32=\frac{378}{5}$$

Add 32 to both sides.

$$F=\frac{378}{5}+32$$

Convert 32 to fraction \frac{160}{5}.

$$F=\frac{378}{5}+\frac{160}{5}$$

Since \frac{378}{5} and \frac{160}{5} have the same denominator, add them by adding their numerators.

$$F=\frac{378+160}{5}$$

Add 378 and 160 to get 538.

$$F=\frac{538}{5}$$