Solve 54/5-25/9=

$$5 \frac{ 4 }{ 5 } -2 \frac{ 5 }{ 9 } =$$

Evaluate

$$\frac{146}{45}\approx 3.244444444$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+4}{5}-\frac{2\times 9+5}{9}$$

Add 25 and 4 to get 29.

$$\frac{29}{5}-\frac{2\times 9+5}{9}$$

Multiply 2 and 9 to get 18.

$$\frac{29}{5}-\frac{18+5}{9}$$

Add 18 and 5 to get 23.

$$\frac{29}{5}-\frac{23}{9}$$

Least common multiple of 5 and 9 is 45. Convert \frac{29}{5} and \frac{23}{9} to fractions with denominator 45.

$$\frac{261}{45}-\frac{115}{45}$$

Since \frac{261}{45} and \frac{115}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{261-115}{45}$$

Subtract 115 from 261 to get 146.

$$\frac{146}{45}$$

Factor

$$\frac{2 \cdot 73}{3 ^ {2} \cdot 5} = 3\frac{11}{45} = 3.2444444444444445$$