Solve 13%5700/15%8550

$$13 \% \frac{ 5700 }{ 15 \% 8550 }$$

Evaluate

$$\frac{26}{45}\approx 0.577777778$$

Solution Steps

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{13}{100}\times \frac{5700}{\frac{3}{20}\times 8550}$$

Express \frac{3}{20}\times 8550 as a single fraction.

$$\frac{13}{100}\times \frac{5700}{\frac{3\times 8550}{20}}$$

Multiply 3 and 8550 to get 25650.

$$\frac{13}{100}\times \frac{5700}{\frac{25650}{20}}$$

Reduce the fraction \frac{25650}{20} to lowest terms by extracting and canceling out 10.

$$\frac{13}{100}\times \frac{5700}{\frac{2565}{2}}$$

Divide 5700 by \frac{2565}{2} by multiplying 5700 by the reciprocal of \frac{2565}{2}.

$$\frac{13}{100}\times 5700\times \frac{2}{2565}$$

Express 5700\times \frac{2}{2565} as a single fraction.

$$\frac{13}{100}\times \frac{5700\times 2}{2565}$$

Multiply 5700 and 2 to get 11400.

$$\frac{13}{100}\times \frac{11400}{2565}$$

Reduce the fraction \frac{11400}{2565} to lowest terms by extracting and canceling out 285.

$$\frac{13}{100}\times \frac{40}{9}$$

Multiply \frac{13}{100} times \frac{40}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 40}{100\times 9}$$

Do the multiplications in the fraction \frac{13\times 40}{100\times 9}.

$$\frac{520}{900}$$

Reduce the fraction \frac{520}{900} to lowest terms by extracting and canceling out 20.

$$\frac{26}{45}$$

Factor

$$\frac{2 \cdot 13}{3 ^ {2} \cdot 5} = 0.5777777777777777$$