Solve 4^3-7+3/21-1/6

$$4 ^ { 3 } - 7 + \frac { 3 } { 21 } - \frac { 1 } { 6 }$$

Evaluate

$$\frac{2393}{42}\approx 56.976190476$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$64-7+\frac{3}{21}-\frac{1}{6}$$

Subtract 7 from 64 to get 57.

$$57+\frac{3}{21}-\frac{1}{6}$$

Reduce the fraction \frac{3}{21} to lowest terms by extracting and canceling out 3.

$$57+\frac{1}{7}-\frac{1}{6}$$

Convert 57 to fraction \frac{399}{7}.

$$\frac{399}{7}+\frac{1}{7}-\frac{1}{6}$$

Since \frac{399}{7} and \frac{1}{7} have the same denominator, add them by adding their numerators.

$$\frac{399+1}{7}-\frac{1}{6}$$

Add 399 and 1 to get 400.

$$\frac{400}{7}-\frac{1}{6}$$

Least common multiple of 7 and 6 is 42. Convert \frac{400}{7} and \frac{1}{6} to fractions with denominator 42.

$$\frac{2400}{42}-\frac{7}{42}$$

Since \frac{2400}{42} and \frac{7}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2400-7}{42}$$

Subtract 7 from 2400 to get 2393.

$$\frac{2393}{42}$$

Factor

$$\frac{2393}{2 \cdot 3 \cdot 7} = 56\frac{41}{42} = 56.976190476190474$$