Solve -3*(28/29)+6/2

$$\frac{ -3 \times ( \frac{ 28 }{ 29 } )+6 }{ 2 }$$

Evaluate

$$\frac{45}{29}\approx 1.551724138$$

Solution Steps

Express -3\times \frac{28}{29} as a single fraction.

$$\frac{\frac{-3\times 28}{29}+6}{2}$$

Multiply -3 and 28 to get -84.

$$\frac{\frac{-84}{29}+6}{2}$$

Fraction \frac{-84}{29} can be rewritten as -\frac{84}{29} by extracting the negative sign.

$$\frac{-\frac{84}{29}+6}{2}$$

Convert 6 to fraction \frac{174}{29}.

$$\frac{-\frac{84}{29}+\frac{174}{29}}{2}$$

Since -\frac{84}{29} and \frac{174}{29} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-84+174}{29}}{2}$$

Add -84 and 174 to get 90.

$$\frac{\frac{90}{29}}{2}$$

Express \frac{\frac{90}{29}}{2} as a single fraction.

$$\frac{90}{29\times 2}$$

Multiply 29 and 2 to get 58.

$$\frac{90}{58}$$

Reduce the fraction \frac{90}{58} to lowest terms by extracting and canceling out 2.

$$\frac{45}{29}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{29} = 1\frac{16}{29} = 1.5517241379310345$$