Solve {l}{(-0,7):(+8):(+3,14):(-87):(-4,7)}{-30,24):(-4):(+57,85)}

$$\left. \begin{array} { l } { ( - 0,7 ) : ( + 8 ) : ( + 3,14 ) : ( - 87 ) : ( - 4,7 ) } \\ { - 30,24 ) : ( - 4 ) : ( + 57,85 ) } \end{array} \right.$$

Evaluate

$$-\frac{1941330727}{64197300}\approx -30.240068149$$

Solution Steps

Express \frac{\frac{\frac{\frac{-0.7}{8}}{3.14}}{-87}}{-4.7} as a single fraction.

$$\frac{\frac{\frac{-0.7}{8}}{3.14}}{-87\left(-4.7\right)}-30.24$$

Express \frac{\frac{-0.7}{8}}{3.14} as a single fraction.

$$\frac{\frac{-0.7}{8\times 3.14}}{-87\left(-4.7\right)}-30.24$$

Multiply 8 and 3.14 to get 25.12.

$$\frac{\frac{-0.7}{25.12}}{-87\left(-4.7\right)}-30.24$$

Expand \frac{-0.7}{25.12} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{-70}{2512}}{-87\left(-4.7\right)}-30.24$$

Reduce the fraction \frac{-70}{2512} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{35}{1256}}{-87\left(-4.7\right)}-30.24$$

Multiply -87 and -4.7 to get 408.9.

$$\frac{-\frac{35}{1256}}{408.9}-30.24$$

Express \frac{-\frac{35}{1256}}{408.9} as a single fraction.

$$\frac{-35}{1256\times 408.9}-30.24$$

Multiply 1256 and 408.9 to get 513578.4.

$$\frac{-35}{513578.4}-30.24$$

Expand \frac{-35}{513578.4} by multiplying both numerator and the denominator by 10.

$$\frac{-350}{5135784}-30.24$$

Reduce the fraction \frac{-350}{5135784} to lowest terms by extracting and canceling out 2.

$$-\frac{175}{2567892}-30.24$$

Convert decimal number 30.24 to fraction \frac{3024}{100}. Reduce the fraction \frac{3024}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{175}{2567892}-\frac{756}{25}$$

Least common multiple of 2567892 and 25 is 64197300. Convert -\frac{175}{2567892} and \frac{756}{25} to fractions with denominator 64197300.

$$-\frac{4375}{64197300}-\frac{1941326352}{64197300}$$

Since -\frac{4375}{64197300} and \frac{1941326352}{64197300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4375-1941326352}{64197300}$$

Subtract 1941326352 from -4375 to get -1941330727.

$$-\frac{1941330727}{64197300}$$

Factor

$$-\frac{1941330727}{64197300} = -30\frac{15411727}{64197300} = -30.240068149283537$$