Solve (3+3/5:0,3):0,27=

$$( 3 + \frac { 3 } { 5 } : 0,3 ) : 0,27 =$$

Evaluate

$$\frac{500}{27}\approx 18,518518519$$

Solution Steps

Express \frac{\frac{3}{5}}{0,3} as a single fraction.

$$\frac{3+\frac{3}{5\times 0,3}}{0,27}$$

Multiply 5 and 0,3 to get 1,5.

$$\frac{3+\frac{3}{1,5}}{0,27}$$

Expand \frac{3}{1,5} by multiplying both numerator and the denominator by 10.

$$\frac{3+\frac{30}{15}}{0,27}$$

Divide 30 by 15 to get 2.

$$\frac{3+2}{0,27}$$

Add 3 and 2 to get 5.

$$\frac{5}{0,27}$$

Expand \frac{5}{0,27} by multiplying both numerator and the denominator by 100.

$$\frac{500}{27}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3}}{3 ^ {3}} = 18\frac{14}{27} = 18.51851851851852$$