Solve 191/8+(-53/4)+(-91/8)-125

$$19 \frac { 1 } { 8 } + ( - 5 \frac { 3 } { 4 } ) + ( - 9 \frac { 1 } { 8 } ) - 125$$

Evaluate

$$-\frac{483}{4}=-120.75$$

Solution Steps

Multiply 19 and 8 to get 152.

$$\frac{152+1}{8}-\frac{5\times 4+3}{4}-\frac{9\times 8+1}{8}-125$$

Add 152 and 1 to get 153.

$$\frac{153}{8}-\frac{5\times 4+3}{4}-\frac{9\times 8+1}{8}-125$$

Multiply 5 and 4 to get 20.

$$\frac{153}{8}-\frac{20+3}{4}-\frac{9\times 8+1}{8}-125$$

Add 20 and 3 to get 23.

$$\frac{153}{8}-\frac{23}{4}-\frac{9\times 8+1}{8}-125$$

Least common multiple of 8 and 4 is 8. Convert \frac{153}{8} and \frac{23}{4} to fractions with denominator 8.

$$\frac{153}{8}-\frac{46}{8}-\frac{9\times 8+1}{8}-125$$

Since \frac{153}{8} and \frac{46}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{153-46}{8}-\frac{9\times 8+1}{8}-125$$

Subtract 46 from 153 to get 107.

$$\frac{107}{8}-\frac{9\times 8+1}{8}-125$$

Multiply 9 and 8 to get 72.

$$\frac{107}{8}-\frac{72+1}{8}-125$$

Add 72 and 1 to get 73.

$$\frac{107}{8}-\frac{73}{8}-125$$

Since \frac{107}{8} and \frac{73}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{107-73}{8}-125$$

Subtract 73 from 107 to get 34.

$$\frac{34}{8}-125$$

Reduce the fraction \frac{34}{8} to lowest terms by extracting and canceling out 2.

$$\frac{17}{4}-125$$

Convert 125 to fraction \frac{500}{4}.

$$\frac{17}{4}-\frac{500}{4}$$

Since \frac{17}{4} and \frac{500}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-500}{4}$$

Subtract 500 from 17 to get -483.

$$-\frac{483}{4}$$

Factor

$$-\frac{483}{4} = -120\frac{3}{4} = -120.75$$