Solve 1440*100/325*26/72*37/61*37/61*frac{17}{18}

$$1440 \times \frac{ 100 }{ 325 } \times \frac{ 26 }{ 72 } \times \frac{ 37 }{ 61 } \times \frac{ 37 }{ 61 } \times \frac{ 17 }{ 18 }$$

Evaluate

$$\frac{1861840}{33489}\approx 55.595568694$$

Solution Steps

Reduce the fraction \frac{100}{325} to lowest terms by extracting and canceling out 25.

$$1440\times \frac{4}{13}\times \frac{26}{72}\times \frac{37}{61}\times \frac{37}{61}\times \frac{17}{18}$$

Express 1440\times \frac{4}{13} as a single fraction.

$$\frac{1440\times 4}{13}\times \frac{26}{72}\times \frac{37}{61}\times \frac{37}{61}\times \frac{17}{18}$$

Multiply 1440 and 4 to get 5760.

$$\frac{5760}{13}\times \frac{26}{72}\times \frac{37}{61}\times \frac{37}{61}\times \frac{17}{18}$$

Reduce the fraction \frac{26}{72} to lowest terms by extracting and canceling out 2.

$$\frac{5760}{13}\times \frac{13}{36}\times \frac{37}{61}\times \frac{37}{61}\times \frac{17}{18}$$

Multiply \frac{5760}{13} times \frac{13}{36} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5760\times 13}{13\times 36}\times \frac{37}{61}\times \frac{37}{61}\times \frac{17}{18}$$

Cancel out 13 in both numerator and denominator.

$$\frac{5760}{36}\times \frac{37}{61}\times \frac{37}{61}\times \frac{17}{18}$$

Divide 5760 by 36 to get 160.

$$160\times \frac{37}{61}\times \frac{37}{61}\times \frac{17}{18}$$

Express 160\times \frac{37}{61} as a single fraction.

$$\frac{160\times 37}{61}\times \frac{37}{61}\times \frac{17}{18}$$

Multiply 160 and 37 to get 5920.

$$\frac{5920}{61}\times \frac{37}{61}\times \frac{17}{18}$$

Multiply \frac{5920}{61} times \frac{37}{61} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5920\times 37}{61\times 61}\times \frac{17}{18}$$

Do the multiplications in the fraction \frac{5920\times 37}{61\times 61}.

$$\frac{219040}{3721}\times \frac{17}{18}$$

Multiply \frac{219040}{3721} times \frac{17}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{219040\times 17}{3721\times 18}$$

Do the multiplications in the fraction \frac{219040\times 17}{3721\times 18}.

$$\frac{3723680}{66978}$$

Reduce the fraction \frac{3723680}{66978} to lowest terms by extracting and canceling out 2.

$$\frac{1861840}{33489}$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 17 \cdot 37 ^ {2}}{3 ^ {2} \cdot 61 ^ {2}} = 55\frac{19945}{33489} = 55.59556869419809$$