Solve m:3.4=2.04:2.89

$$m : 3.4 = 2.04 : 2.89$$

Solve for m

$$m=2.4$$

Steps for Solving Linear Equation

Expand \frac{2.04}{2.89} by multiplying both numerator and the denominator by 100.

$$\frac{m}{3.4}=\frac{204}{289}$$

Reduce the fraction \frac{204}{289} to lowest terms by extracting and canceling out 17.

$$\frac{m}{3.4}=\frac{12}{17}$$

Multiply both sides by 3.4.

$$m=\frac{12}{17}\times 3.4$$

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$m=\frac{12}{17}\times \frac{17}{5}$$

Multiply \frac{12}{17} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$m=\frac{12\times 17}{17\times 5}$$

Cancel out 17 in both numerator and denominator.

$$m=\frac{12}{5}$$