Solve (5/64.31/60*200)+300

$$( \frac{ 5 }{ 6 } \frac{ 4.31 }{ 60 } \times 200)+300$$

Evaluate

$$\frac{11231}{36}\approx 311.972222222$$

Solution Steps

Expand \frac{4.31}{60} by multiplying both numerator and the denominator by 100.

$$\frac{5}{6}\times \frac{431}{6000}\times 200+300$$

Multiply \frac{5}{6} times \frac{431}{6000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 431}{6\times 6000}\times 200+300$$

Do the multiplications in the fraction \frac{5\times 431}{6\times 6000}.

$$\frac{2155}{36000}\times 200+300$$

Reduce the fraction \frac{2155}{36000} to lowest terms by extracting and canceling out 5.

$$\frac{431}{7200}\times 200+300$$

Express \frac{431}{7200}\times 200 as a single fraction.

$$\frac{431\times 200}{7200}+300$$

Multiply 431 and 200 to get 86200.

$$\frac{86200}{7200}+300$$

Reduce the fraction \frac{86200}{7200} to lowest terms by extracting and canceling out 200.

$$\frac{431}{36}+300$$

Convert 300 to fraction \frac{10800}{36}.

$$\frac{431}{36}+\frac{10800}{36}$$

Since \frac{431}{36} and \frac{10800}{36} have the same denominator, add them by adding their numerators.

$$\frac{431+10800}{36}$$

Add 431 and 10800 to get 11231.

$$\frac{11231}{36}$$

Factor

$$\frac{11 \cdot 1021}{2 ^ {2} \cdot 3 ^ {2}} = 311\frac{35}{36} = 311.97222222222223$$