Solve (+322/21)+(-72/8)

$$( + 3 \frac { 22 } { 21 } ) + ( - 7 \frac { 2 } { 8 } )$$

Evaluate

$$-\frac{269}{84}\approx -3.202380952$$

Solution Steps

Multiply 3 and 21 to get 63.

$$\frac{63+22}{21}-\frac{7\times 8+2}{8}$$

Add 63 and 22 to get 85.

$$\frac{85}{21}-\frac{7\times 8+2}{8}$$

Multiply 7 and 8 to get 56.

$$\frac{85}{21}-\frac{56+2}{8}$$

Add 56 and 2 to get 58.

$$\frac{85}{21}-\frac{58}{8}$$

Reduce the fraction \frac{58}{8} to lowest terms by extracting and canceling out 2.

$$\frac{85}{21}-\frac{29}{4}$$

Least common multiple of 21 and 4 is 84. Convert \frac{85}{21} and \frac{29}{4} to fractions with denominator 84.

$$\frac{340}{84}-\frac{609}{84}$$

Since \frac{340}{84} and \frac{609}{84} have the same denominator, subtract them by subtracting their numerators.

$$\frac{340-609}{84}$$

Subtract 609 from 340 to get -269.

$$-\frac{269}{84}$$

Factor

$$-\frac{269}{84} = -3\frac{17}{84} = -3.2023809523809526$$