Solve (+323/24)+(-72/8)=

$$( + 3 \frac { 23 } { 24 } ) + ( - 7 \frac { 2 } { 8 } ) =$$

Evaluate

$$-\frac{79}{24}\approx -3.291666667$$

Solution Steps

Multiply 3 and 24 to get 72.

$$\frac{72+23}{24}-\frac{7\times 8+2}{8}$$

Add 72 and 23 to get 95.

$$\frac{95}{24}-\frac{7\times 8+2}{8}$$

Multiply 7 and 8 to get 56.

$$\frac{95}{24}-\frac{56+2}{8}$$

Add 56 and 2 to get 58.

$$\frac{95}{24}-\frac{58}{8}$$

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

$$\frac{95}{24}-\frac{29}{4}$$

Least common multiple of 24 and 4 is 24. Convert \frac{95}{24} and \frac{29}{4} to fractions with denominator 24.

$$\frac{95}{24}-\frac{174}{24}$$

Since \frac{95}{24} and \frac{174}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{95-174}{24}$$

Subtract 174 from 95 to get -79.

$$-\frac{79}{24}$$

Factor

$$-\frac{79}{24} = -3\frac{7}{24} = -3.2916666666666665$$