Solve [17/8*8-(8,9-2,6:2/3)]*342/5

$$[ 1 \frac { 7 } { 8 } \cdot 8 - ( 8,9 - 2,6 : \frac { 2 } { 3 } ) ] \cdot 34 \frac { 2 } { 5 }$$

Evaluate

$$344$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\left(\frac{8+7}{8}\times 8-\left(8,9-\frac{2,6}{\frac{2}{3}}\right)\right)\times \frac{34\times 5+2}{5}$$

Add 8 and 7 to get 15.

$$\left(\frac{15}{8}\times 8-\left(8,9-\frac{2,6}{\frac{2}{3}}\right)\right)\times \frac{34\times 5+2}{5}$$

Cancel out 8 and 8.

$$\left(15-\left(8,9-\frac{2,6}{\frac{2}{3}}\right)\right)\times \frac{34\times 5+2}{5}$$

Divide 2,6 by \frac{2}{3} by multiplying 2,6 by the reciprocal of \frac{2}{3}.

$$\left(15-\left(8,9-2,6\times \frac{3}{2}\right)\right)\times \frac{34\times 5+2}{5}$$

Convert decimal number 2,6 to fraction \frac{26}{10}. Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$\left(15-\left(8,9-\frac{13}{5}\times \frac{3}{2}\right)\right)\times \frac{34\times 5+2}{5}$$

Multiply \frac{13}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\left(15-\left(8,9-\frac{13\times 3}{5\times 2}\right)\right)\times \frac{34\times 5+2}{5}$$

Do the multiplications in the fraction \frac{13\times 3}{5\times 2}.

$$\left(15-\left(8,9-\frac{39}{10}\right)\right)\times \frac{34\times 5+2}{5}$$

Convert decimal number 8,9 to fraction \frac{89}{10}.

$$\left(15-\left(\frac{89}{10}-\frac{39}{10}\right)\right)\times \frac{34\times 5+2}{5}$$

Since \frac{89}{10} and \frac{39}{10} have the same denominator, subtract them by subtracting their numerators.

$$\left(15-\frac{89-39}{10}\right)\times \frac{34\times 5+2}{5}$$

Subtract 39 from 89 to get 50.

$$\left(15-\frac{50}{10}\right)\times \frac{34\times 5+2}{5}$$

Divide 50 by 10 to get 5.

$$\left(15-5\right)\times \frac{34\times 5+2}{5}$$

Subtract 5 from 15 to get 10.

$$10\times \frac{34\times 5+2}{5}$$

Multiply 34 and 5 to get 170.

$$10\times \frac{170+2}{5}$$

Add 170 and 2 to get 172.

$$10\times \frac{172}{5}$$

Express 10\times \frac{172}{5} as a single fraction.

$$\frac{10\times 172}{5}$$

Multiply 10 and 172 to get 1720.

$$\frac{1720}{5}$$

Divide 1720 by 5 to get 344.

$$344$$

Factor

$$43\times 2^{3}$$