Solve 200/3.2+15.4+2.1*15.4

$$\frac{ 200 }{ 3.2+15.4+2.1 } \times 15.4$$

Evaluate

$$\frac{30800}{207}\approx 148.792270531$$

Solution Steps

Add 3.2 and 15.4 to get 18.6.

$$\frac{200}{18.6+2.1}\times 15.4$$

Add 18.6 and 2.1 to get 20.7.

$$\frac{200}{20.7}\times 15.4$$

Expand \frac{200}{20.7} by multiplying both numerator and the denominator by 10.

$$\frac{2000}{207}\times 15.4$$

Convert decimal number 15.4 to fraction \frac{154}{10}. Reduce the fraction \frac{154}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2000}{207}\times \frac{77}{5}$$

Multiply \frac{2000}{207} times \frac{77}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2000\times 77}{207\times 5}$$

Do the multiplications in the fraction \frac{2000\times 77}{207\times 5}.

$$\frac{154000}{1035}$$

Reduce the fraction \frac{154000}{1035} to lowest terms by extracting and canceling out 5.

$$\frac{30800}{207}$$

Factor

$$\frac{7 \cdot 11 \cdot 2 ^ {4} \cdot 5 ^ {2}}{23 \cdot 3 ^ {2}} = 148\frac{164}{207} = 148.79227053140096$$