Solve 42900/308-1008/308+42900/24063*1.34/60

$$\frac{ 42900 }{ 30 } 8- \frac{ 1008 }{ 30 } 8+ \frac{ \frac{ 42900 }{ 240 } 63 \cdot 1.34 }{ 60 }$$

Evaluate

$$11422.70125$$

Solution Steps

Divide 42900 by 30 to get 1430.

$$1430\times 8-\frac{1008}{30}\times 8+\frac{\frac{42900}{240}\times 63\times 1.34}{60}$$

Multiply 1430 and 8 to get 11440.

$$11440-\frac{1008}{30}\times 8+\frac{\frac{42900}{240}\times 63\times 1.34}{60}$$

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

$$11440-\frac{168}{5}\times 8+\frac{\frac{42900}{240}\times 63\times 1.34}{60}$$

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

$$11440-\frac{168\times 8}{5}+\frac{\frac{42900}{240}\times 63\times 1.34}{60}$$

Multiply 168 and 8 to get 1344.

$$11440-\frac{1344}{5}+\frac{\frac{42900}{240}\times 63\times 1.34}{60}$$

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

$$\frac{57200}{5}-\frac{1344}{5}+\frac{\frac{42900}{240}\times 63\times 1.34}{60}$$

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

$$\frac{57200-1344}{5}+\frac{\frac{42900}{240}\times 63\times 1.34}{60}$$

Subtract 1344 from 57200 to get 55856.

$$\frac{55856}{5}+\frac{\frac{42900}{240}\times 63\times 1.34}{60}$$

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

$$\frac{55856}{5}+\frac{\frac{715}{4}\times 63\times 1.34}{60}$$

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

$$\frac{55856}{5}+\frac{\frac{715\times 63}{4}\times 1.34}{60}$$

Multiply 715 and 63 to get 45045.

$$\frac{55856}{5}+\frac{\frac{45045}{4}\times 1.34}{60}$$

Convert decimal number 1.34 to fraction \frac{134}{100}. Reduce the fraction \frac{134}{100} to lowest terms by extracting and canceling out 2.

$$\frac{55856}{5}+\frac{\frac{45045}{4}\times \frac{67}{50}}{60}$$

Multiply \frac{45045}{4} times \frac{67}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55856}{5}+\frac{\frac{45045\times 67}{4\times 50}}{60}$$

Do the multiplications in the fraction \frac{45045\times 67}{4\times 50}.

$$\frac{55856}{5}+\frac{\frac{3018015}{200}}{60}$$

Reduce the fraction \frac{3018015}{200} to lowest terms by extracting and canceling out 5.

$$\frac{55856}{5}+\frac{\frac{603603}{40}}{60}$$

Express \frac{\frac{603603}{40}}{60} as a single fraction.

$$\frac{55856}{5}+\frac{603603}{40\times 60}$$

Multiply 40 and 60 to get 2400.

$$\frac{55856}{5}+\frac{603603}{2400}$$

Reduce the fraction \frac{603603}{2400} to lowest terms by extracting and canceling out 3.

$$\frac{55856}{5}+\frac{201201}{800}$$

Least common multiple of 5 and 800 is 800. Convert \frac{55856}{5} and \frac{201201}{800} to fractions with denominator 800.

$$\frac{8936960}{800}+\frac{201201}{800}$$

Since \frac{8936960}{800} and \frac{201201}{800} have the same denominator, add them by adding their numerators.

$$\frac{8936960+201201}{800}$$

Add 8936960 and 201201 to get 9138161.

$$\frac{9138161}{800}$$

Factor

$$\frac{29 \cdot 315109}{2 ^ {5} \cdot 5 ^ {2}} = 11422\frac{561}{800} = 11422.70125$$