Solve 3*40*1,5+37*3*(3+37/2)/40*3+37*3

$$\frac { 3 \times 40 \times 1,5 + 37 \times 3 \times ( 3 + \frac { 37 } { 2 } ) } { 40 \times 3 + 37 \times 3 }$$

Evaluate

$$\frac{1711}{154}\approx 11,11038961$$

Solution Steps

Multiply 3 and 40 to get 120. Multiply 37 and 3 to get 111.

$$\frac{120\times 1,5+111\left(3+\frac{37}{2}\right)}{40\times 3+37\times 3}$$

Multiply 120 and 1,5 to get 180.

$$\frac{180+111\left(3+\frac{37}{2}\right)}{40\times 3+37\times 3}$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{180+111\left(\frac{6}{2}+\frac{37}{2}\right)}{40\times 3+37\times 3}$$

Since \frac{6}{2} and \frac{37}{2} have the same denominator, add them by adding their numerators.

$$\frac{180+111\times \frac{6+37}{2}}{40\times 3+37\times 3}$$

Add 6 and 37 to get 43.

$$\frac{180+111\times \frac{43}{2}}{40\times 3+37\times 3}$$

Express 111\times \frac{43}{2} as a single fraction.

$$\frac{180+\frac{111\times 43}{2}}{40\times 3+37\times 3}$$

Multiply 111 and 43 to get 4773.

$$\frac{180+\frac{4773}{2}}{40\times 3+37\times 3}$$

Convert 180 to fraction \frac{360}{2}.

$$\frac{\frac{360}{2}+\frac{4773}{2}}{40\times 3+37\times 3}$$

Since \frac{360}{2} and \frac{4773}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{360+4773}{2}}{40\times 3+37\times 3}$$

Add 360 and 4773 to get 5133.

$$\frac{\frac{5133}{2}}{40\times 3+37\times 3}$$

Multiply 40 and 3 to get 120. Multiply 37 and 3 to get 111.

$$\frac{\frac{5133}{2}}{120+111}$$

Add 120 and 111 to get 231.

$$\frac{\frac{5133}{2}}{231}$$

Express \frac{\frac{5133}{2}}{231} as a single fraction.

$$\frac{5133}{2\times 231}$$

Multiply 2 and 231 to get 462.

$$\frac{5133}{462}$$

Reduce the fraction \frac{5133}{462} to lowest terms by extracting and canceling out 3.

$$\frac{1711}{154}$$

Factor

$$\frac{29 \cdot 59}{2 \cdot 7 \cdot 11} = 11\frac{17}{154} = 11.11038961038961$$