Solve 1/0.091*(1+0.5)=

$$\frac{ 1 }{ 0.091 } \times (1+0.5)=$$

Evaluate

$$\frac{1500}{91}\approx 16.483516484$$

Solution Steps

Expand \frac{1}{0.091} by multiplying both numerator and the denominator by 1000.

$$\frac{1000}{91}\left(1+0.5\right)$$

Add 1 and 0.5 to get 1.5.

$$\frac{1000}{91}\times 1.5$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1000}{91}\times \frac{3}{2}$$

Multiply \frac{1000}{91} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1000\times 3}{91\times 2}$$

Do the multiplications in the fraction \frac{1000\times 3}{91\times 2}.

$$\frac{3000}{182}$$

Reduce the fraction \frac{3000}{182} to lowest terms by extracting and canceling out 2.

$$\frac{1500}{91}$$

Factor

$$\frac{3 \cdot 2 ^ {2} \cdot 5 ^ {3}}{7 \cdot 13} = 16\frac{44}{91} = 16.483516483516482$$