Solve 25*(3+1+0.5)+90*3/2+20/3

$$\frac{ 25 \times (3+1+0.5)+90 \times \frac{ 3 }{ 2 } +20 }{ 3 }$$

Evaluate

$$\frac{535}{6}\approx 89.166666667$$

Solution Steps

Add 3 and 1 to get 4.

$$\frac{25\left(4+0.5\right)+90\times \frac{3}{2}+20}{3}$$

Add 4 and 0.5 to get 4.5.

$$\frac{25\times 4.5+90\times \frac{3}{2}+20}{3}$$

Multiply 25 and 4.5 to get 112.5.

$$\frac{112.5+90\times \frac{3}{2}+20}{3}$$

Express 90\times \frac{3}{2} as a single fraction.

$$\frac{112.5+\frac{90\times 3}{2}+20}{3}$$

Multiply 90 and 3 to get 270.

$$\frac{112.5+\frac{270}{2}+20}{3}$$

Divide 270 by 2 to get 135.

$$\frac{112.5+135+20}{3}$$

Add 112.5 and 135 to get 247.5.

$$\frac{247.5+20}{3}$$

Add 247.5 and 20 to get 267.5.

$$\frac{267.5}{3}$$

Expand \frac{267.5}{3} by multiplying both numerator and the denominator by 10.

$$\frac{2675}{30}$$

Reduce the fraction \frac{2675}{30} to lowest terms by extracting and canceling out 5.

$$\frac{535}{6}$$

Factor

$$\frac{5 \cdot 107}{2 \cdot 3} = 89\frac{1}{6} = 89.16666666666667$$