Solve 200/3.4+12.2+1.3*12.2

$$\frac{ 200 }{ 3.4+12.2+1.3 } \times 12.2$$

Evaluate

$$\frac{24400}{169}\approx 144.378698225$$

Solution Steps

Add 3.4 and 12.2 to get 15.6.

$$\frac{200}{15.6+1.3}\times 12.2$$

Add 15.6 and 1.3 to get 16.9.

$$\frac{200}{16.9}\times 12.2$$

Expand \frac{200}{16.9} by multiplying both numerator and the denominator by 10.

$$\frac{2000}{169}\times 12.2$$

Convert decimal number 12.2 to fraction \frac{122}{10}. Reduce the fraction \frac{122}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2000}{169}\times \frac{61}{5}$$

Multiply \frac{2000}{169} times \frac{61}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2000\times 61}{169\times 5}$$

Do the multiplications in the fraction \frac{2000\times 61}{169\times 5}.

$$\frac{122000}{845}$$

Reduce the fraction \frac{122000}{845} to lowest terms by extracting and canceling out 5.

$$\frac{24400}{169}$$

Factor

$$\frac{61 \cdot 2 ^ {4} \cdot 5 ^ {2}}{13 ^ {2}} = 144\frac{64}{169} = 144.37869822485206$$