Solve 73/8+22/3-111/4

$$7 \frac { 3 } { 8 } + 2 \frac { 2 } { 3 } - 11 \frac { 1 } { 4 }$$

Evaluate

$$-\frac{29}{24}\approx -1.208333333$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+3}{8}+\frac{2\times 3+2}{3}-\frac{11\times 4+1}{4}$$

Add 56 and 3 to get 59.

$$\frac{59}{8}+\frac{2\times 3+2}{3}-\frac{11\times 4+1}{4}$$

Multiply 2 and 3 to get 6.

$$\frac{59}{8}+\frac{6+2}{3}-\frac{11\times 4+1}{4}$$

Add 6 and 2 to get 8.

$$\frac{59}{8}+\frac{8}{3}-\frac{11\times 4+1}{4}$$

Least common multiple of 8 and 3 is 24. Convert \frac{59}{8} and \frac{8}{3} to fractions with denominator 24.

$$\frac{177}{24}+\frac{64}{24}-\frac{11\times 4+1}{4}$$

Since \frac{177}{24} and \frac{64}{24} have the same denominator, add them by adding their numerators.

$$\frac{177+64}{24}-\frac{11\times 4+1}{4}$$

Add 177 and 64 to get 241.

$$\frac{241}{24}-\frac{11\times 4+1}{4}$$

Multiply 11 and 4 to get 44.

$$\frac{241}{24}-\frac{44+1}{4}$$

Add 44 and 1 to get 45.

$$\frac{241}{24}-\frac{45}{4}$$

Least common multiple of 24 and 4 is 24. Convert \frac{241}{24} and \frac{45}{4} to fractions with denominator 24.

$$\frac{241}{24}-\frac{270}{24}$$

Since \frac{241}{24} and \frac{270}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{241-270}{24}$$

Subtract 270 from 241 to get -29.

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

Factor

$$-\frac{29}{24} = -1\frac{5}{24} = -1.2083333333333333$$