Solve 300[1+0.035*3.1]10/17

$$300 [ 1 + 0.035 \times 3.1 ] \frac { 10 } { 17 }$$

Evaluate

$$\frac{6651}{34}\approx 195.617647059$$

Solution Steps

Multiply 0.035 and 3.1 to get 0.1085.

$$300\left(1+0.1085\right)\times \frac{10}{17}$$

Add 1 and 0.1085 to get 1.1085.

$$300\times 1.1085\times \frac{10}{17}$$

Multiply 300 and 1.1085 to get 332.55.

$$332.55\times \frac{10}{17}$$

Convert decimal number 332.55 to fraction \frac{33255}{100}. Reduce the fraction \frac{33255}{100} to lowest terms by extracting and canceling out 5.

$$\frac{6651}{20}\times \frac{10}{17}$$

Multiply \frac{6651}{20} times \frac{10}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6651\times 10}{20\times 17}$$

Do the multiplications in the fraction \frac{6651\times 10}{20\times 17}.

$$\frac{66510}{340}$$

Reduce the fraction \frac{66510}{340} to lowest terms by extracting and canceling out 10.

$$\frac{6651}{34}$$

Factor

$$\frac{739 \cdot 3 ^ {2}}{2 \cdot 17} = 195\frac{21}{34} = 195.61764705882354$$