Solve -3/34-101/34+4(98/17)

$$- \frac{ 3 }{ 34 } - \frac{ 101 }{ 34 } +4( \frac{ 98 }{ 17 } )$$

Evaluate

$$20$$

Solution Steps

Since -\frac{3}{34} and \frac{101}{34} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-101}{34}+4\times \frac{98}{17}$$

Subtract 101 from -3 to get -104.

$$\frac{-104}{34}+4\times \frac{98}{17}$$

Reduce the fraction \frac{-104}{34} to lowest terms by extracting and canceling out 2.

$$-\frac{52}{17}+4\times \frac{98}{17}$$

Express 4\times \frac{98}{17} as a single fraction.

$$-\frac{52}{17}+\frac{4\times 98}{17}$$

Multiply 4 and 98 to get 392.

$$-\frac{52}{17}+\frac{392}{17}$$

Since -\frac{52}{17} and \frac{392}{17} have the same denominator, add them by adding their numerators.

$$\frac{-52+392}{17}$$

Add -52 and 392 to get 340.

$$\frac{340}{17}$$

Divide 340 by 17 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$