Solve 5(f-3.6)=4.9

$$5 ( f - 3.6 ) = 4.9$$

Solve for f

$$f=4.58$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$f-3.6=\frac{4.9}{5}$$

Expand \frac{4.9}{5} by multiplying both numerator and the denominator by 10.

$$f-3.6=\frac{49}{50}$$

Add 3.6 to both sides.

$$f=\frac{49}{50}+3.6$$

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$f=\frac{49}{50}+\frac{18}{5}$$

Least common multiple of 50 and 5 is 50. Convert \frac{49}{50} and \frac{18}{5} to fractions with denominator 50.

$$f=\frac{49}{50}+\frac{180}{50}$$

Since \frac{49}{50} and \frac{180}{50} have the same denominator, add them by adding their numerators.

$$f=\frac{49+180}{50}$$

Add 49 and 180 to get 229.

$$f=\frac{229}{50}$$