Solve 92.89-128.25/4.4-2*4.4+2/9.289+1.2825

$$\frac { 92.89 - 128.25 } { 4.4 - 2 } \times \frac { 4.4 + 2 } { 9.289 + 1.2825 }$$

Evaluate

$$-\frac{565760}{63429}\approx -8.919579372$$

Solution Steps

Subtract 128.25 from 92.89 to get -35.36.

$$\frac{-35.36}{4.4-2}\times \frac{4.4+2}{9.289+1.2825}$$

Subtract 2 from 4.4 to get 2.4.

$$\frac{-35.36}{2.4}\times \frac{4.4+2}{9.289+1.2825}$$

Expand \frac{-35.36}{2.4} by multiplying both numerator and the denominator by 100.

$$\frac{-3536}{240}\times \frac{4.4+2}{9.289+1.2825}$$

Reduce the fraction \frac{-3536}{240} to lowest terms by extracting and canceling out 16.

$$-\frac{221}{15}\times \frac{4.4+2}{9.289+1.2825}$$

Add 4.4 and 2 to get 6.4.

$$-\frac{221}{15}\times \frac{6.4}{9.289+1.2825}$$

Add 9.289 and 1.2825 to get 10.5715.

$$-\frac{221}{15}\times \frac{6.4}{10.5715}$$

Expand \frac{6.4}{10.5715} by multiplying both numerator and the denominator by 10000.

$$-\frac{221}{15}\times \frac{64000}{105715}$$

Reduce the fraction \frac{64000}{105715} to lowest terms by extracting and canceling out 5.

$$-\frac{221}{15}\times \frac{12800}{21143}$$

Multiply -\frac{221}{15} times \frac{12800}{21143} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-221\times 12800}{15\times 21143}$$

Do the multiplications in the fraction \frac{-221\times 12800}{15\times 21143}.

$$\frac{-2828800}{317145}$$

Reduce the fraction \frac{-2828800}{317145} to lowest terms by extracting and canceling out 5.

$$-\frac{565760}{63429}$$

Factor

$$-\frac{565760}{63429} = -8\frac{58328}{63429} = -8.91957937221145$$