Solve x/4.9=5.0/5.8

$$\frac { x } { 4.9 } = \frac { 5.0 } { 5.8 }$$

Solve for x

$$x = \frac{245}{58} = 4\frac{13}{58} \approx 4.224137931$$

Steps for Solving Linear Equation

Expand \frac{5}{5.8} by multiplying both numerator and the denominator by 10.

$$\frac{x}{4.9}=\frac{50}{58}$$

Reduce the fraction \frac{50}{58} to lowest terms by extracting and canceling out 2.

$$\frac{x}{4.9}=\frac{25}{29}$$

Multiply both sides by 4.9.

$$x=\frac{25}{29}\times 4.9$$

Convert decimal number 4.9 to fraction \frac{49}{10}.

$$x=\frac{25}{29}\times \frac{49}{10}$$

Multiply \frac{25}{29} times \frac{49}{10} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{25\times 49}{29\times 10}$$

Do the multiplications in the fraction \frac{25\times 49}{29\times 10}.

$$x=\frac{1225}{290}$$

Reduce the fraction \frac{1225}{290} to lowest terms by extracting and canceling out 5.

$$x=\frac{245}{58}$$