Solve 61/4*17/4*-51/5

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

Evaluate

$$-\frac{715}{8}=-89.375$$

Solution Steps

Multiply 6 and 4 to get 24.

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

Add 24 and 1 to get 25.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 7 to get 11.

$$\frac{25}{4}\times \frac{11}{4}\left(-\frac{5\times 5+1}{5}\right)$$

Multiply \frac{25}{4} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 11}{4\times 4}\left(-\frac{5\times 5+1}{5}\right)$$

Do the multiplications in the fraction \frac{25\times 11}{4\times 4}.

$$\frac{275}{16}\left(-\frac{5\times 5+1}{5}\right)$$

Multiply 5 and 5 to get 25.

$$\frac{275}{16}\left(-\frac{25+1}{5}\right)$$

Add 25 and 1 to get 26.

$$\frac{275}{16}\left(-\frac{26}{5}\right)$$

Multiply \frac{275}{16} times -\frac{26}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{275\left(-26\right)}{16\times 5}$$

Do the multiplications in the fraction \frac{275\left(-26\right)}{16\times 5}.

$$\frac{-7150}{80}$$

Reduce the fraction \frac{-7150}{80} to lowest terms by extracting and canceling out 10.

$$-\frac{715}{8}$$

Factor

$$-\frac{715}{8} = -89\frac{3}{8} = -89.375$$