Solve 138*11/4+23.3*(2-75%)-125%*38+(1+0.25)*28.7

$$138 \times 1 \frac { 1 } { 4 } + 23.3 \times ( 2 - 75 \% ) - 125 \% \times 38 + ( 1 + 0.25 ) \times 28.7$$

Evaluate

$$190$$

Solution Steps

Multiply 1 and 4 to get 4.

$$138\times \frac{4+1}{4}+23.3\left(2-\frac{75}{100}\right)-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Add 4 and 1 to get 5.

$$138\times \frac{5}{4}+23.3\left(2-\frac{75}{100}\right)-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Express 138\times \frac{5}{4} as a single fraction.

$$\frac{138\times 5}{4}+23.3\left(2-\frac{75}{100}\right)-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Multiply 138 and 5 to get 690.

$$\frac{690}{4}+23.3\left(2-\frac{75}{100}\right)-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Reduce the fraction \frac{690}{4} to lowest terms by extracting and canceling out 2.

$$\frac{345}{2}+23.3\left(2-\frac{75}{100}\right)-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{345}{2}+23.3\left(2-\frac{3}{4}\right)-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{345}{2}+23.3\left(\frac{8}{4}-\frac{3}{4}\right)-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Since \frac{8}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{345}{2}+23.3\times \frac{8-3}{4}-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Subtract 3 from 8 to get 5.

$$\frac{345}{2}+23.3\times \frac{5}{4}-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Convert decimal number 23.3 to fraction \frac{233}{10}.

$$\frac{345}{2}+\frac{233}{10}\times \frac{5}{4}-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Multiply \frac{233}{10} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{345}{2}+\frac{233\times 5}{10\times 4}-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Do the multiplications in the fraction \frac{233\times 5}{10\times 4}.

$$\frac{345}{2}+\frac{1165}{40}-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Reduce the fraction \frac{1165}{40} to lowest terms by extracting and canceling out 5.

$$\frac{345}{2}+\frac{233}{8}-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Least common multiple of 2 and 8 is 8. Convert \frac{345}{2} and \frac{233}{8} to fractions with denominator 8.

$$\frac{1380}{8}+\frac{233}{8}-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Since \frac{1380}{8} and \frac{233}{8} have the same denominator, add them by adding their numerators.

$$\frac{1380+233}{8}-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Add 1380 and 233 to get 1613.

$$\frac{1613}{8}-\frac{125}{100}\times 38+\left(1+0.25\right)\times 28.7$$

Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1613}{8}-\frac{5}{4}\times 38+\left(1+0.25\right)\times 28.7$$

Express \frac{5}{4}\times 38 as a single fraction.

$$\frac{1613}{8}-\frac{5\times 38}{4}+\left(1+0.25\right)\times 28.7$$

Multiply 5 and 38 to get 190.

$$\frac{1613}{8}-\frac{190}{4}+\left(1+0.25\right)\times 28.7$$

Reduce the fraction \frac{190}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1613}{8}-\frac{95}{2}+\left(1+0.25\right)\times 28.7$$

Least common multiple of 8 and 2 is 8. Convert \frac{1613}{8} and \frac{95}{2} to fractions with denominator 8.

$$\frac{1613}{8}-\frac{380}{8}+\left(1+0.25\right)\times 28.7$$

Since \frac{1613}{8} and \frac{380}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1613-380}{8}+\left(1+0.25\right)\times 28.7$$

Subtract 380 from 1613 to get 1233.

$$\frac{1233}{8}+\left(1+0.25\right)\times 28.7$$

Add 1 and 0.25 to get 1.25.

$$\frac{1233}{8}+1.25\times 28.7$$

Multiply 1.25 and 28.7 to get 35.875.

$$\frac{1233}{8}+35.875$$

Convert decimal number 35.875 to fraction \frac{35875}{1000}. Reduce the fraction \frac{35875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{1233}{8}+\frac{287}{8}$$

Since \frac{1233}{8} and \frac{287}{8} have the same denominator, add them by adding their numerators.

$$\frac{1233+287}{8}$$

Add 1233 and 287 to get 1520.

$$\frac{1520}{8}$$

Divide 1520 by 8 to get 190.

$$190$$

Factor

$$2\times 5\times 19$$