Solve 42900/308-1008/308+42900/24063*134/60

$$\frac{ 42900 }{ 30 } 8- \frac{ 1008 }{ 30 } 8+ \frac{ \frac{ 42900 }{ 240 } 63 \cdot 134 }{ 60 }$$

Evaluate

$$\frac{1452853}{40}=36321.325$$

Solution Steps

Divide 42900 by 30 to get 1430.

$$1430\times 8-\frac{1008}{30}\times 8+\frac{\frac{42900}{240}\times 63\times 134}{60}$$

Multiply 1430 and 8 to get 11440.

$$11440-\frac{1008}{30}\times 8+\frac{\frac{42900}{240}\times 63\times 134}{60}$$

Reduce the fraction \frac{1008}{30} to lowest terms by extracting and canceling out 6.

$$11440-\frac{168}{5}\times 8+\frac{\frac{42900}{240}\times 63\times 134}{60}$$

Express \frac{168}{5}\times 8 as a single fraction.

$$11440-\frac{168\times 8}{5}+\frac{\frac{42900}{240}\times 63\times 134}{60}$$

Multiply 168 and 8 to get 1344.

$$11440-\frac{1344}{5}+\frac{\frac{42900}{240}\times 63\times 134}{60}$$

Convert 11440 to fraction \frac{57200}{5}.

$$\frac{57200}{5}-\frac{1344}{5}+\frac{\frac{42900}{240}\times 63\times 134}{60}$$

Since \frac{57200}{5} and \frac{1344}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57200-1344}{5}+\frac{\frac{42900}{240}\times 63\times 134}{60}$$

Subtract 1344 from 57200 to get 55856.

$$\frac{55856}{5}+\frac{\frac{42900}{240}\times 63\times 134}{60}$$

Reduce the fraction \frac{42900}{240} to lowest terms by extracting and canceling out 60.

$$\frac{55856}{5}+\frac{\frac{715}{4}\times 63\times 134}{60}$$

Express \frac{715}{4}\times 63 as a single fraction.

$$\frac{55856}{5}+\frac{\frac{715\times 63}{4}\times 134}{60}$$

Multiply 715 and 63 to get 45045.

$$\frac{55856}{5}+\frac{\frac{45045}{4}\times 134}{60}$$

Express \frac{45045}{4}\times 134 as a single fraction.

$$\frac{55856}{5}+\frac{\frac{45045\times 134}{4}}{60}$$

Multiply 45045 and 134 to get 6036030.

$$\frac{55856}{5}+\frac{\frac{6036030}{4}}{60}$$

Reduce the fraction \frac{6036030}{4} to lowest terms by extracting and canceling out 2.

$$\frac{55856}{5}+\frac{\frac{3018015}{2}}{60}$$

Express \frac{\frac{3018015}{2}}{60} as a single fraction.

$$\frac{55856}{5}+\frac{3018015}{2\times 60}$$

Multiply 2 and 60 to get 120.

$$\frac{55856}{5}+\frac{3018015}{120}$$

Reduce the fraction \frac{3018015}{120} to lowest terms by extracting and canceling out 15.

$$\frac{55856}{5}+\frac{201201}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{55856}{5} and \frac{201201}{8} to fractions with denominator 40.

$$\frac{446848}{40}+\frac{1006005}{40}$$

Since \frac{446848}{40} and \frac{1006005}{40} have the same denominator, add them by adding their numerators.

$$\frac{446848+1006005}{40}$$

Add 446848 and 1006005 to get 1452853.

$$\frac{1452853}{40}$$

Factor

$$\frac{1452853}{2 ^ {3} \cdot 5} = 36321\frac{13}{40} = 36321.325$$