Solve 10:18,7:21,12:16,8:20div7=

$$10 : 18,7 : 21,12 : 16,8 : 20 \div 7 =$$

Evaluate

$$\frac{625}{58056768}\approx 0,000010765$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{10}{18,7}}{21,12}}{16,8}}{20}}{7} as a single fraction.

$$\frac{\frac{\frac{\frac{10}{18,7}}{21,12}}{16,8}}{20\times 7}$$

Express \frac{\frac{\frac{10}{18,7}}{21,12}}{16,8} as a single fraction.

$$\frac{\frac{\frac{10}{18,7}}{21,12\times 16,8}}{20\times 7}$$

Expand \frac{10}{18,7} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{\frac{100}{187}}{21,12\times 16,8}}{20\times 7}$$

Multiply 21,12 and 16,8 to get 354,816.

$$\frac{\frac{\frac{100}{187}}{354,816}}{20\times 7}$$

Express \frac{\frac{100}{187}}{354,816} as a single fraction.

$$\frac{\frac{100}{187\times 354,816}}{20\times 7}$$

Multiply 187 and 354,816 to get 66350,592.

$$\frac{\frac{100}{66350,592}}{20\times 7}$$

Expand \frac{100}{66350,592} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{100000}{66350592}}{20\times 7}$$

Reduce the fraction \frac{100000}{66350592} to lowest terms by extracting and canceling out 32.

$$\frac{\frac{3125}{2073456}}{20\times 7}$$

Multiply 20 and 7 to get 140.

$$\frac{\frac{3125}{2073456}}{140}$$

Express \frac{\frac{3125}{2073456}}{140} as a single fraction.

$$\frac{3125}{2073456\times 140}$$

Multiply 2073456 and 140 to get 290283840.

$$\frac{3125}{290283840}$$

Reduce the fraction \frac{3125}{290283840} to lowest terms by extracting and canceling out 5.

$$\frac{625}{58056768}$$

Factor

$$\frac{5 ^ {4}}{17 \cdot 2 ^ {6} \cdot 3 ^ {2} \cdot 7 ^ {2} \cdot 11 ^ {2}} = 1.0765325413912121 \times 10^{-5}$$