Solve 6.5*-5.2+-5.2/8*6.5*4*6.5/6.5+-5.2

$$\frac{ 6.5 \times -5.2+-5.2 }{ 8 \times 6.5 } \times \frac{ 4 \times 6.5 }{ 6.5+-5.2 }$$

Evaluate

$$-15$$

Solution Steps

Multiply 6.5 and -5.2 to get -33.8.

$$\frac{-33.8-5.2}{8\times 6.5}\times \frac{4\times 6.5}{6.5-5.2}$$

Subtract 5.2 from -33.8 to get -39.

$$\frac{-39}{8\times 6.5}\times \frac{4\times 6.5}{6.5-5.2}$$

Multiply 8 and 6.5 to get 52.

$$\frac{-39}{52}\times \frac{4\times 6.5}{6.5-5.2}$$

Reduce the fraction \frac{-39}{52} to lowest terms by extracting and canceling out 13.

$$-\frac{3}{4}\times \frac{4\times 6.5}{6.5-5.2}$$

Multiply 4 and 6.5 to get 26.

$$-\frac{3}{4}\times \frac{26}{6.5-5.2}$$

Subtract 5.2 from 6.5 to get 1.3.

$$-\frac{3}{4}\times \frac{26}{1.3}$$

Expand \frac{26}{1.3} by multiplying both numerator and the denominator by 10.

$$-\frac{3}{4}\times \frac{260}{13}$$

Divide 260 by 13 to get 20.

$$-\frac{3}{4}\times 20$$

Express -\frac{3}{4}\times 20 as a single fraction.

$$\frac{-3\times 20}{4}$$

Multiply -3 and 20 to get -60.

$$\frac{-60}{4}$$

Divide -60 by 4 to get -15.

$$-15$$

Factor

$$-15$$