Solve 52/15+22/30-5/45

$$5 \frac{ 2 }{ 15 } +2 \frac{ 2 }{ 30 } - \frac{ 5 }{ 45 }$$

Evaluate

$$\frac{319}{45}\approx 7.088888889$$

Solution Steps

Multiply 5 and 15 to get 75.

$$\frac{75+2}{15}+\frac{2\times 30+2}{30}-\frac{5}{45}$$

Add 75 and 2 to get 77.

$$\frac{77}{15}+\frac{2\times 30+2}{30}-\frac{5}{45}$$

Multiply 2 and 30 to get 60.

$$\frac{77}{15}+\frac{60+2}{30}-\frac{5}{45}$$

Add 60 and 2 to get 62.

$$\frac{77}{15}+\frac{62}{30}-\frac{5}{45}$$

Reduce the fraction \frac{62}{30} to lowest terms by extracting and canceling out 2.

$$\frac{77}{15}+\frac{31}{15}-\frac{5}{45}$$

Since \frac{77}{15} and \frac{31}{15} have the same denominator, add them by adding their numerators.

$$\frac{77+31}{15}-\frac{5}{45}$$

Add 77 and 31 to get 108.

$$\frac{108}{15}-\frac{5}{45}$$

Reduce the fraction \frac{108}{15} to lowest terms by extracting and canceling out 3.

$$\frac{36}{5}-\frac{5}{45}$$

Reduce the fraction \frac{5}{45} to lowest terms by extracting and canceling out 5.

$$\frac{36}{5}-\frac{1}{9}$$

Least common multiple of 5 and 9 is 45. Convert \frac{36}{5} and \frac{1}{9} to fractions with denominator 45.

$$\frac{324}{45}-\frac{5}{45}$$

Since \frac{324}{45} and \frac{5}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{324-5}{45}$$

Subtract 5 from 324 to get 319.

$$\frac{319}{45}$$

Factor

$$\frac{11 \cdot 29}{3 ^ {2} \cdot 5} = 7\frac{4}{45} = 7.088888888888889$$