Solve (245/44)^2*35/(frac{147{44})^2*21}

$$\frac { ( \frac { 245 } { 44 } ) ^ { 2 } \times 35 } { ( \frac { 147 } { 44 } ) ^ { 2 } \times 21 }$$

Evaluate

$$\frac{125}{27}\approx 4.62962963$$

Solution Steps

Cancel out 7 in both numerator and denominator.

$$\frac{5\times \left(\frac{245}{44}\right)^{2}}{3\times \left(\frac{147}{44}\right)^{2}}$$

Calculate \frac{245}{44} to the power of 2 and get \frac{60025}{1936}.

$$\frac{5\times \frac{60025}{1936}}{3\times \left(\frac{147}{44}\right)^{2}}$$

Express 5\times \frac{60025}{1936} as a single fraction.

$$\frac{\frac{5\times 60025}{1936}}{3\times \left(\frac{147}{44}\right)^{2}}$$

Multiply 5 and 60025 to get 300125.

$$\frac{\frac{300125}{1936}}{3\times \left(\frac{147}{44}\right)^{2}}$$

Calculate \frac{147}{44} to the power of 2 and get \frac{21609}{1936}.

$$\frac{\frac{300125}{1936}}{3\times \frac{21609}{1936}}$$

Express 3\times \frac{21609}{1936} as a single fraction.

$$\frac{\frac{300125}{1936}}{\frac{3\times 21609}{1936}}$$

Multiply 3 and 21609 to get 64827.

$$\frac{\frac{300125}{1936}}{\frac{64827}{1936}}$$

Divide \frac{300125}{1936} by \frac{64827}{1936} by multiplying \frac{300125}{1936} by the reciprocal of \frac{64827}{1936}.

$$\frac{300125}{1936}\times \frac{1936}{64827}$$

Multiply \frac{300125}{1936} times \frac{1936}{64827} by multiplying numerator times numerator and denominator times denominator.

$$\frac{300125\times 1936}{1936\times 64827}$$

Cancel out 1936 in both numerator and denominator.

$$\frac{300125}{64827}$$

Reduce the fraction \frac{300125}{64827} to lowest terms by extracting and canceling out 2401.

$$\frac{125}{27}$$

Factor

$$\frac{5 ^ {3}}{3 ^ {3}} = 4\frac{17}{27} = 4.62962962962963$$