Solve 78*(452-12)+62div5*6-0.5*25

$$78 \times (452-12)+62 \div 5 \times 6-0.5 \times 25$$

Evaluate

$$34381.9$$

Solution Steps

Subtract 12 from 452 to get 440.

$$78\times 440+\frac{62}{5}\times 6-0.5\times 25$$

Multiply 78 and 440 to get 34320.

$$34320+\frac{62}{5}\times 6-0.5\times 25$$

Express \frac{62}{5}\times 6 as a single fraction.

$$34320+\frac{62\times 6}{5}-0.5\times 25$$

Multiply 62 and 6 to get 372.

$$34320+\frac{372}{5}-0.5\times 25$$

Convert 34320 to fraction \frac{171600}{5}.

$$\frac{171600}{5}+\frac{372}{5}-0.5\times 25$$

Since \frac{171600}{5} and \frac{372}{5} have the same denominator, add them by adding their numerators.

$$\frac{171600+372}{5}-0.5\times 25$$

Add 171600 and 372 to get 171972.

$$\frac{171972}{5}-0.5\times 25$$

Multiply 0.5 and 25 to get 12.5.

$$\frac{171972}{5}-12.5$$

Convert decimal number 12.5 to fraction \frac{125}{10}. Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$\frac{171972}{5}-\frac{25}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{171972}{5} and \frac{25}{2} to fractions with denominator 10.

$$\frac{343944}{10}-\frac{125}{10}$$

Since \frac{343944}{10} and \frac{125}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{343944-125}{10}$$

Subtract 125 from 343944 to get 343819.

$$\frac{343819}{10}$$

Factor

$$\frac{7 \cdot 49117}{2 \cdot 5} = 34381\frac{9}{10} = 34381.9$$