Solve 4^3-+1.2-3.5-(6/7*14.7)+31/2

$$4 ^ { 3 } - + 1.2 - 3.5 - ( \frac { 6 } { 7 } \times 14.7 ) + 3 \frac { 1 } { 2 }$$

Evaluate

$$50.2$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$64-1.2-3.5-\frac{6}{7}\times 14.7+\frac{3\times 2+1}{2}$$

Subtract 1.2 from 64 to get 62.8.

$$62.8-3.5-\frac{6}{7}\times 14.7+\frac{3\times 2+1}{2}$$

Subtract 3.5 from 62.8 to get 59.3.

$$59.3-\frac{6}{7}\times 14.7+\frac{3\times 2+1}{2}$$

Convert decimal number 14.7 to fraction \frac{147}{10}.

$$59.3-\frac{6}{7}\times \frac{147}{10}+\frac{3\times 2+1}{2}$$

Multiply \frac{6}{7} times \frac{147}{10} by multiplying numerator times numerator and denominator times denominator.

$$59.3-\frac{6\times 147}{7\times 10}+\frac{3\times 2+1}{2}$$

Do the multiplications in the fraction \frac{6\times 147}{7\times 10}.

$$59.3-\frac{882}{70}+\frac{3\times 2+1}{2}$$

Reduce the fraction \frac{882}{70} to lowest terms by extracting and canceling out 14.

$$59.3-\frac{63}{5}+\frac{3\times 2+1}{2}$$

Convert decimal number 59.3 to fraction \frac{593}{10}.

$$\frac{593}{10}-\frac{63}{5}+\frac{3\times 2+1}{2}$$

Least common multiple of 10 and 5 is 10. Convert \frac{593}{10} and \frac{63}{5} to fractions with denominator 10.

$$\frac{593}{10}-\frac{126}{10}+\frac{3\times 2+1}{2}$$

Since \frac{593}{10} and \frac{126}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{593-126}{10}+\frac{3\times 2+1}{2}$$

Subtract 126 from 593 to get 467.

$$\frac{467}{10}+\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{467}{10}+\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{467}{10}+\frac{7}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{467}{10} and \frac{7}{2} to fractions with denominator 10.

$$\frac{467}{10}+\frac{35}{10}$$

Since \frac{467}{10} and \frac{35}{10} have the same denominator, add them by adding their numerators.

$$\frac{467+35}{10}$$

Add 467 and 35 to get 502.

$$\frac{502}{10}$$

Reduce the fraction \frac{502}{10} to lowest terms by extracting and canceling out 2.

$$\frac{251}{5}$$

Factor

$$\frac{251}{5} = 50\frac{1}{5} = 50.2$$