Solve 3-(-1.6979)(1-3)/(-0.5746)-(1.6979)

$$3 \frac{ -(-1.6979)(1-3) }{ (-0.5746)-(1.6979) }$$

Evaluate

$$\frac{33958}{7575}\approx 4.48290429$$

Solution Steps

The opposite of -1.6979 is 1.6979.

$$3\times \frac{1.6979\left(1-3\right)}{-0.5746-1.6979}$$

Subtract 3 from 1 to get -2.

$$3\times \frac{1.6979\left(-2\right)}{-0.5746-1.6979}$$

Multiply 1.6979 and -2 to get -3.3958.

$$3\times \frac{-3.3958}{-0.5746-1.6979}$$

Subtract 1.6979 from -0.5746 to get -2.2725.

$$3\times \frac{-3.3958}{-2.2725}$$

Expand \frac{-3.3958}{-2.2725} by multiplying both numerator and the denominator by 10000.

$$3\times \frac{-33958}{-22725}$$

Fraction \frac{-33958}{-22725} can be simplified to \frac{33958}{22725} by removing the negative sign from both the numerator and the denominator.

$$3\times \frac{33958}{22725}$$

Express 3\times \frac{33958}{22725} as a single fraction.

$$\frac{3\times 33958}{22725}$$

Multiply 3 and 33958 to get 101874.

$$\frac{101874}{22725}$$

Reduce the fraction \frac{101874}{22725} to lowest terms by extracting and canceling out 3.

$$\frac{33958}{7575}$$

Factor

$$\frac{2 \cdot 16979}{3 \cdot 101 \cdot 5 ^ {2}} = 4\frac{3658}{7575} = 4.482904290429043$$