Solve 7/3(4)-5/12

$$\frac{ 7 }{ 3 } (4)- \frac{ 5 }{ 12 }$$

Evaluate

$$\frac{107}{12}\approx 8.916666667$$

Solution Steps

Express \frac{7}{3}\times 4 as a single fraction.

$$\frac{7\times 4}{3}-\frac{5}{12}$$

Multiply 7 and 4 to get 28.

$$\frac{28}{3}-\frac{5}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{28}{3} and \frac{5}{12} to fractions with denominator 12.

$$\frac{112}{12}-\frac{5}{12}$$

Since \frac{112}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112-5}{12}$$

Subtract 5 from 112 to get 107.

$$\frac{107}{12}$$

Factor

$$\frac{107}{2 ^ {2} \cdot 3} = 8\frac{11}{12} = 8.916666666666666$$