Solve -5,6*42/8+647/48*5,6+25/16*(-5,6)

$$- 5,6 \cdot 4 \frac { 2 } { 8 } + 6 \frac { 47 } { 48 } \cdot 5,6 + 2 \frac { 5 } { 16 } \cdot ( - 5,6 )$$

Evaluate

$$\frac{7}{3}\approx 2,333333333$$

Solution Steps

Multiply 4 and 8 to get 32.

$$-5,6\times \frac{32+2}{8}+\frac{6\times 48+47}{48}\times 5,6+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Add 32 and 2 to get 34.

$$-5,6\times \frac{34}{8}+\frac{6\times 48+47}{48}\times 5,6+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Reduce the fraction \frac{34}{8} to lowest terms by extracting and canceling out 2.

$$-5,6\times \frac{17}{4}+\frac{6\times 48+47}{48}\times 5,6+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Convert decimal number -5,6 to fraction -\frac{56}{10}. Reduce the fraction -\frac{56}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{28}{5}\times \frac{17}{4}+\frac{6\times 48+47}{48}\times 5,6+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Multiply -\frac{28}{5} times \frac{17}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-28\times 17}{5\times 4}+\frac{6\times 48+47}{48}\times 5,6+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Do the multiplications in the fraction \frac{-28\times 17}{5\times 4}.

$$\frac{-476}{20}+\frac{6\times 48+47}{48}\times 5,6+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Reduce the fraction \frac{-476}{20} to lowest terms by extracting and canceling out 4.

$$-\frac{119}{5}+\frac{6\times 48+47}{48}\times 5,6+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Multiply 6 and 48 to get 288.

$$-\frac{119}{5}+\frac{288+47}{48}\times 5,6+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Add 288 and 47 to get 335.

$$-\frac{119}{5}+\frac{335}{48}\times 5,6+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Convert decimal number 5,6 to fraction \frac{56}{10}. Reduce the fraction \frac{56}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{119}{5}+\frac{335}{48}\times \frac{28}{5}+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Multiply \frac{335}{48} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{119}{5}+\frac{335\times 28}{48\times 5}+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Do the multiplications in the fraction \frac{335\times 28}{48\times 5}.

$$-\frac{119}{5}+\frac{9380}{240}+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Reduce the fraction \frac{9380}{240} to lowest terms by extracting and canceling out 20.

$$-\frac{119}{5}+\frac{469}{12}+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Least common multiple of 5 and 12 is 60. Convert -\frac{119}{5} and \frac{469}{12} to fractions with denominator 60.

$$-\frac{1428}{60}+\frac{2345}{60}+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Since -\frac{1428}{60} and \frac{2345}{60} have the same denominator, add them by adding their numerators.

$$\frac{-1428+2345}{60}+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Add -1428 and 2345 to get 917.

$$\frac{917}{60}+\frac{2\times 16+5}{16}\left(-5,6\right)$$

Multiply 2 and 16 to get 32.

$$\frac{917}{60}+\frac{32+5}{16}\left(-5,6\right)$$

Add 32 and 5 to get 37.

$$\frac{917}{60}+\frac{37}{16}\left(-5,6\right)$$

Convert decimal number -5,6 to fraction -\frac{56}{10}. Reduce the fraction -\frac{56}{10} to lowest terms by extracting and canceling out 2.

$$\frac{917}{60}+\frac{37}{16}\left(-\frac{28}{5}\right)$$

Multiply \frac{37}{16} times -\frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{917}{60}+\frac{37\left(-28\right)}{16\times 5}$$

Do the multiplications in the fraction \frac{37\left(-28\right)}{16\times 5}.

$$\frac{917}{60}+\frac{-1036}{80}$$

Reduce the fraction \frac{-1036}{80} to lowest terms by extracting and canceling out 4.

$$\frac{917}{60}-\frac{259}{20}$$

Least common multiple of 60 and 20 is 60. Convert \frac{917}{60} and \frac{259}{20} to fractions with denominator 60.

$$\frac{917}{60}-\frac{777}{60}$$

Since \frac{917}{60} and \frac{777}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{917-777}{60}$$

Subtract 777 from 917 to get 140.

$$\frac{140}{60}$$

Reduce the fraction \frac{140}{60} to lowest terms by extracting and canceling out 20.

$$\frac{7}{3}$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$