Solve 31/3%text{of}900km

$$3 \frac { 1 } { 3 } \% \text { of } 900 km$$

Evaluate

$$30km$$

Solution Steps

Express \frac{\frac{3\times 3+1}{3}}{100} as a single fraction.

$$\frac{3\times 3+1}{3\times 100}\times 900km$$

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3\times 100}\times 900km$$

Add 9 and 1 to get 10.

$$\frac{10}{3\times 100}\times 900km$$

Multiply 3 and 100 to get 300.

$$\frac{10}{300}\times 900km$$

Reduce the fraction \frac{10}{300} to lowest terms by extracting and canceling out 10.

$$\frac{1}{30}\times 900km$$

Multiply \frac{1}{30} and 900 to get \frac{900}{30}.

$$\frac{900}{30}km$$

Divide 900 by 30 to get 30.

$$30km$$

Expand

$$30km$$

Solution Steps

Express \frac{\frac{3\times 3+1}{3}}{100} as a single fraction.

$$\frac{3\times 3+1}{3\times 100}\times 900km$$

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3\times 100}\times 900km$$

Add 9 and 1 to get 10.

$$\frac{10}{3\times 100}\times 900km$$

Multiply 3 and 100 to get 300.

$$\frac{10}{300}\times 900km$$

Reduce the fraction \frac{10}{300} to lowest terms by extracting and canceling out 10.

$$\frac{1}{30}\times 900km$$

Multiply \frac{1}{30} and 900 to get \frac{900}{30}.

$$\frac{900}{30}km$$

Divide 900 by 30 to get 30.

$$30km$$