Solve (29.4)^2+106/2.2*5.1

$$\frac { ( 29.4 ) ^ { 2 } + 106 } { 2.2 \times 5.1 }$$

Evaluate

$$\frac{2854}{33}\approx 86.484848485$$

Solution Steps

Calculate 29.4 to the power of 2 and get 864.36.

$$\frac{864.36+106}{2.2\times 5.1}$$

Add 864.36 and 106 to get 970.36.

$$\frac{970.36}{2.2\times 5.1}$$

Multiply 2.2 and 5.1 to get 11.22.

$$\frac{970.36}{11.22}$$

Expand \frac{970.36}{11.22} by multiplying both numerator and the denominator by 100.

$$\frac{97036}{1122}$$

Reduce the fraction \frac{97036}{1122} to lowest terms by extracting and canceling out 34.

$$\frac{2854}{33}$$

Factor

$$\frac{2 \cdot 1427}{3 \cdot 11} = 86\frac{16}{33} = 86.48484848484848$$