Solve [65-(52:2)]:[(43-26)*2+32]:2*[(50+90)*3]=

$$[ 65 - ( 52 : 2 ) ] : [ ( 43 - 26 ) \times 2 + 32 ] : 2 \cdot [ ( 50 + 90 ) \cdot 3 ] =$$

Evaluate

$$\frac{1365}{11}\approx 124.090909091$$

Solution Steps

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

$$\frac{65-\frac{52}{2}}{\left(\left(43-26\right)\times 2+32\right)\times 2}\left(50+90\right)\times 3$$

Divide 52 by 2 to get 26.

$$\frac{65-26}{\left(\left(43-26\right)\times 2+32\right)\times 2}\left(50+90\right)\times 3$$

Subtract 26 from 65 to get 39.

$$\frac{39}{\left(\left(43-26\right)\times 2+32\right)\times 2}\left(50+90\right)\times 3$$

Subtract 26 from 43 to get 17.

$$\frac{39}{\left(17\times 2+32\right)\times 2}\left(50+90\right)\times 3$$

Multiply 17 and 2 to get 34.

$$\frac{39}{\left(34+32\right)\times 2}\left(50+90\right)\times 3$$

Add 34 and 32 to get 66.

$$\frac{39}{66\times 2}\left(50+90\right)\times 3$$

Multiply 66 and 2 to get 132.

$$\frac{39}{132}\left(50+90\right)\times 3$$

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

$$\frac{13}{44}\left(50+90\right)\times 3$$

Add 50 and 90 to get 140.

$$\frac{13}{44}\times 140\times 3$$

Express \frac{13}{44}\times 140 as a single fraction.

$$\frac{13\times 140}{44}\times 3$$

Multiply 13 and 140 to get 1820.

$$\frac{1820}{44}\times 3$$

Reduce the fraction \frac{1820}{44} to lowest terms by extracting and canceling out 4.

$$\frac{455}{11}\times 3$$

Express \frac{455}{11}\times 3 as a single fraction.

$$\frac{455\times 3}{11}$$

Multiply 455 and 3 to get 1365.

$$\frac{1365}{11}$$

Factor

$$\frac{3 \cdot 5 \cdot 7 \cdot 13}{11} = 124\frac{1}{11} = 124.0909090909091$$