Solve 155/8-31/3=

$$15 \frac { 5 } { 8 } - 3 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{295}{24}\approx 12.291666667$$

Solution Steps

Multiply 15 and 8 to get 120.

$$\frac{120+5}{8}-\frac{3\times 3+1}{3}$$

Add 120 and 5 to get 125.

$$\frac{125}{8}-\frac{3\times 3+1}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{125}{8}-\frac{9+1}{3}$$

Add 9 and 1 to get 10.

$$\frac{125}{8}-\frac{10}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{125}{8} and \frac{10}{3} to fractions with denominator 24.

$$\frac{375}{24}-\frac{80}{24}$$

Since \frac{375}{24} and \frac{80}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{375-80}{24}$$

Subtract 80 from 375 to get 295.

$$\frac{295}{24}$$

Factor

$$\frac{5 \cdot 59}{2 ^ {3} \cdot 3} = 12\frac{7}{24} = 12.291666666666666$$