Solve [65-(52:2)]:[(43-26)*2+32]:2-[(50+40):3]=

$$[ 65 - ( 52 : 2 ) ] : [ ( 43 - 26 ) \times 2 + 32 ] : 2 - [ ( 50 + 40 ) : 3 ] =$$

Evaluate

$$-\frac{1307}{44}\approx -29.704545455$$

Solution Steps

Express \frac{\frac{65-\frac{52}{2}}{\left(43-26\right)\times 2+32}}{2} as a single fraction.

$$\frac{65-\frac{52}{2}}{\left(\left(43-26\right)\times 2+32\right)\times 2}-\frac{50+40}{3}$$

Divide 52 by 2 to get 26.

$$\frac{65-26}{\left(\left(43-26\right)\times 2+32\right)\times 2}-\frac{50+40}{3}$$

Subtract 26 from 65 to get 39.

$$\frac{39}{\left(\left(43-26\right)\times 2+32\right)\times 2}-\frac{50+40}{3}$$

Subtract 26 from 43 to get 17.

$$\frac{39}{\left(17\times 2+32\right)\times 2}-\frac{50+40}{3}$$

Multiply 17 and 2 to get 34.

$$\frac{39}{\left(34+32\right)\times 2}-\frac{50+40}{3}$$

Add 34 and 32 to get 66.

$$\frac{39}{66\times 2}-\frac{50+40}{3}$$

Multiply 66 and 2 to get 132.

$$\frac{39}{132}-\frac{50+40}{3}$$

Reduce the fraction \frac{39}{132} to lowest terms by extracting and canceling out 3.

$$\frac{13}{44}-\frac{50+40}{3}$$

Add 50 and 40 to get 90.

$$\frac{13}{44}-\frac{90}{3}$$

Divide 90 by 3 to get 30.

$$\frac{13}{44}-30$$

Convert 30 to fraction \frac{1320}{44}.

$$\frac{13}{44}-\frac{1320}{44}$$

Since \frac{13}{44} and \frac{1320}{44} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-1320}{44}$$

Subtract 1320 from 13 to get -1307.

$$-\frac{1307}{44}$$

Factor

$$-\frac{1307}{44} = -29\frac{31}{44} = -29.704545454545453$$