Solve 2(154+3)/3-(154-3)/4

$$\frac { 2 ( 154 + 3 ) } { 3 } - \frac { ( 154 - 3 ) } { 4 }$$

Evaluate

$$\frac{803}{12}\approx 66.916666667$$

Solution Steps

Add 154 and 3 to get 157.

$$\frac{2\times 157}{3}-\frac{154-3}{4}$$

Multiply 2 and 157 to get 314.

$$\frac{314}{3}-\frac{154-3}{4}$$

Subtract 3 from 154 to get 151.

$$\frac{314}{3}-\frac{151}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{314}{3} and \frac{151}{4} to fractions with denominator 12.

$$\frac{1256}{12}-\frac{453}{12}$$

Since \frac{1256}{12} and \frac{453}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1256-453}{12}$$

Subtract 453 from 1256 to get 803.

$$\frac{803}{12}$$

Factor

$$\frac{11 \cdot 73}{2 ^ {2} \cdot 3} = 66\frac{11}{12} = 66.91666666666667$$