Solve 61/4*17/9*-52/5

$$6 \frac { 1 } { 4 } \times 1 \frac { 7 } { 9 } \times - 5 \frac { 2 } { 5 }$$

Evaluate

$$-60$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+1}{4}\times \frac{1\times 9+7}{9}\left(-\frac{5\times 5+2}{5}\right)$$

Add 24 and 1 to get 25.

$$\frac{25}{4}\times \frac{1\times 9+7}{9}\left(-\frac{5\times 5+2}{5}\right)$$

Multiply 1 and 9 to get 9.

$$\frac{25}{4}\times \frac{9+7}{9}\left(-\frac{5\times 5+2}{5}\right)$$

Add 9 and 7 to get 16.

$$\frac{25}{4}\times \frac{16}{9}\left(-\frac{5\times 5+2}{5}\right)$$

Multiply \frac{25}{4} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 16}{4\times 9}\left(-\frac{5\times 5+2}{5}\right)$$

Do the multiplications in the fraction \frac{25\times 16}{4\times 9}.

$$\frac{400}{36}\left(-\frac{5\times 5+2}{5}\right)$$

Reduce the fraction \frac{400}{36} to lowest terms by extracting and canceling out 4.

$$\frac{100}{9}\left(-\frac{5\times 5+2}{5}\right)$$

Multiply 5 and 5 to get 25.

$$\frac{100}{9}\left(-\frac{25+2}{5}\right)$$

Add 25 and 2 to get 27.

$$\frac{100}{9}\left(-\frac{27}{5}\right)$$

Multiply \frac{100}{9} times -\frac{27}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{100\left(-27\right)}{9\times 5}$$

Do the multiplications in the fraction \frac{100\left(-27\right)}{9\times 5}.

$$\frac{-2700}{45}$$

Divide -2700 by 45 to get -60.

$$-60$$

Factor

$$-60$$