Solve k/4.9=3.6/5.8

$$\frac { k } { 4.9 } = \frac { 3.6 } { 5.8 }$$

Solve for k

$$k = \frac{441}{145} = 3\frac{6}{145} \approx 3.04137931$$

Steps for Solving Linear Equation

Expand \frac{3.6}{5.8} by multiplying both numerator and the denominator by 10.

$$\frac{k}{4.9}=\frac{36}{58}$$

Reduce the fraction \frac{36}{58} to lowest terms by extracting and canceling out 2.

$$\frac{k}{4.9}=\frac{18}{29}$$

Multiply both sides by 4.9.

$$k=\frac{18}{29}\times 4.9$$

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

$$k=\frac{18}{29}\times \frac{49}{10}$$

Multiply \frac{18}{29} times \frac{49}{10} by multiplying numerator times numerator and denominator times denominator.

$$k=\frac{18\times 49}{29\times 10}$$

Do the multiplications in the fraction \frac{18\times 49}{29\times 10}.

$$k=\frac{882}{290}$$

Reduce the fraction \frac{882}{290} to lowest terms by extracting and canceling out 2.

$$k=\frac{441}{145}$$