Solve 1*101.94/101.94+98.51*-1.96*3.88+-1.96*98.51/101.94+98.51*-1.96*1=

$$\frac { 1 \times 101.94 } { 101.94 + 98.51 \times - 1.96 } \times 3.88 + \frac { - 1.96 \times 98.51 } { 101.94 + 98.51 \times - 1.96 } \times 1 =$$

Evaluate

$$-\frac{506119}{227849}\approx -2.221291294$$

Solution Steps

Multiply 1 and 101.94 to get 101.94.

$$\frac{101.94}{101.94+98.51\left(-1.96\right)}\times 3.88+\frac{-1.96\times 98.51}{101.94+98.51\left(-1.96\right)}\times 1$$

Multiply 98.51 and -1.96 to get -193.0796.

$$\frac{101.94}{101.94-193.0796}\times 3.88+\frac{-1.96\times 98.51}{101.94+98.51\left(-1.96\right)}\times 1$$

Subtract 193.0796 from 101.94 to get -91.1396.

$$\frac{101.94}{-91.1396}\times 3.88+\frac{-1.96\times 98.51}{101.94+98.51\left(-1.96\right)}\times 1$$

Expand \frac{101.94}{-91.1396} by multiplying both numerator and the denominator by 10000.

$$\frac{1019400}{-911396}\times 3.88+\frac{-1.96\times 98.51}{101.94+98.51\left(-1.96\right)}\times 1$$

Reduce the fraction \frac{1019400}{-911396} to lowest terms by extracting and canceling out 4.

$$-\frac{254850}{227849}\times 3.88+\frac{-1.96\times 98.51}{101.94+98.51\left(-1.96\right)}\times 1$$

Convert decimal number 3.88 to fraction \frac{388}{100}. Reduce the fraction \frac{388}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{254850}{227849}\times \frac{97}{25}+\frac{-1.96\times 98.51}{101.94+98.51\left(-1.96\right)}\times 1$$

Multiply -\frac{254850}{227849} times \frac{97}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-254850\times 97}{227849\times 25}+\frac{-1.96\times 98.51}{101.94+98.51\left(-1.96\right)}\times 1$$

Do the multiplications in the fraction \frac{-254850\times 97}{227849\times 25}.

$$\frac{-24720450}{5696225}+\frac{-1.96\times 98.51}{101.94+98.51\left(-1.96\right)}\times 1$$

Reduce the fraction \frac{-24720450}{5696225} to lowest terms by extracting and canceling out 25.

$$-\frac{988818}{227849}+\frac{-1.96\times 98.51}{101.94+98.51\left(-1.96\right)}\times 1$$

Multiply -1.96 and 98.51 to get -193.0796.

$$-\frac{988818}{227849}+\frac{-193.0796}{101.94+98.51\left(-1.96\right)}\times 1$$

Multiply 98.51 and -1.96 to get -193.0796.

$$-\frac{988818}{227849}+\frac{-193.0796}{101.94-193.0796}\times 1$$

Subtract 193.0796 from 101.94 to get -91.1396.

$$-\frac{988818}{227849}+\frac{-193.0796}{-91.1396}\times 1$$

Expand \frac{-193.0796}{-91.1396} by multiplying both numerator and the denominator by 10000.

$$-\frac{988818}{227849}+\frac{-1930796}{-911396}\times 1$$

Reduce the fraction \frac{-1930796}{-911396} to lowest terms by extracting and canceling out -4.

$$-\frac{988818}{227849}+\frac{482699}{227849}\times 1$$

Multiply \frac{482699}{227849} and 1 to get \frac{482699}{227849}.

$$-\frac{988818}{227849}+\frac{482699}{227849}$$

Since -\frac{988818}{227849} and \frac{482699}{227849} have the same denominator, add them by adding their numerators.

$$\frac{-988818+482699}{227849}$$

Add -988818 and 482699 to get -506119.

$$-\frac{506119}{227849}$$

Factor

$$-\frac{506119}{227849} = -2\frac{50421}{227849} = -2.2212912937954523$$