Solve (100/30*100)+30

$$( \frac{ 100 }{ 30 } \times 100)+30$$

Evaluate

$$\frac{1090}{3}\approx 363.333333333$$

Solution Steps

Reduce the fraction \frac{100}{30} to lowest terms by extracting and canceling out 10.

$$\frac{10}{3}\times 100+30$$

Express \frac{10}{3}\times 100 as a single fraction.

$$\frac{10\times 100}{3}+30$$

Multiply 10 and 100 to get 1000.

$$\frac{1000}{3}+30$$

Convert 30 to fraction \frac{90}{3}.

$$\frac{1000}{3}+\frac{90}{3}$$

Since \frac{1000}{3} and \frac{90}{3} have the same denominator, add them by adding their numerators.

$$\frac{1000+90}{3}$$

Add 1000 and 90 to get 1090.

$$\frac{1090}{3}$$

Factor

$$\frac{2 \cdot 5 \cdot 109}{3} = 363\frac{1}{3} = 363.3333333333333$$