Solve 16/15div3*13/45

$$1 \frac{ 6 }{ 15 } \div 3 \times 1 \frac{ 3 }{ 45 }$$

Evaluate

$$\frac{112}{225}\approx 0.497777778$$

Solution Steps

Express \frac{\frac{1\times 15+6}{15}}{3} as a single fraction.

$$\frac{1\times 15+6}{15\times 3}\times \frac{1\times 45+3}{45}$$

Multiply 1 and 15 to get 15.

$$\frac{15+6}{15\times 3}\times \frac{1\times 45+3}{45}$$

Add 15 and 6 to get 21.

$$\frac{21}{15\times 3}\times \frac{1\times 45+3}{45}$$

Multiply 15 and 3 to get 45.

$$\frac{21}{45}\times \frac{1\times 45+3}{45}$$

Reduce the fraction \frac{21}{45} to lowest terms by extracting and canceling out 3.

$$\frac{7}{15}\times \frac{1\times 45+3}{45}$$

Multiply 1 and 45 to get 45.

$$\frac{7}{15}\times \frac{45+3}{45}$$

Add 45 and 3 to get 48.

$$\frac{7}{15}\times \frac{48}{45}$$

Reduce the fraction \frac{48}{45} to lowest terms by extracting and canceling out 3.

$$\frac{7}{15}\times \frac{16}{15}$$

Multiply \frac{7}{15} times \frac{16}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 16}{15\times 15}$$

Do the multiplications in the fraction \frac{7\times 16}{15\times 15}.

$$\frac{112}{225}$$

Factor

$$\frac{2 ^ {4} \cdot 7}{3 ^ {2} \cdot 5 ^ {2}} = 0.49777777777777776$$