Solve 52/3+13/8-21/4

$$5 \frac { 2 } { 3 } + 1 \frac { 3 } { 8 } - 2 \frac { 1 } { 4 }$$

Evaluate

$$\frac{115}{24}\approx 4.791666667$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}+\frac{1\times 8+3}{8}-\frac{2\times 4+1}{4}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}+\frac{1\times 8+3}{8}-\frac{2\times 4+1}{4}$$

Multiply 1 and 8 to get 8.

$$\frac{17}{3}+\frac{8+3}{8}-\frac{2\times 4+1}{4}$$

Add 8 and 3 to get 11.

$$\frac{17}{3}+\frac{11}{8}-\frac{2\times 4+1}{4}$$

Least common multiple of 3 and 8 is 24. Convert \frac{17}{3} and \frac{11}{8} to fractions with denominator 24.

$$\frac{136}{24}+\frac{33}{24}-\frac{2\times 4+1}{4}$$

Since \frac{136}{24} and \frac{33}{24} have the same denominator, add them by adding their numerators.

$$\frac{136+33}{24}-\frac{2\times 4+1}{4}$$

Add 136 and 33 to get 169.

$$\frac{169}{24}-\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{169}{24}-\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{169}{24}-\frac{9}{4}$$

Least common multiple of 24 and 4 is 24. Convert \frac{169}{24} and \frac{9}{4} to fractions with denominator 24.

$$\frac{169}{24}-\frac{54}{24}$$

Since \frac{169}{24} and \frac{54}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{169-54}{24}$$

Subtract 54 from 169 to get 115.

$$\frac{115}{24}$$

Factor

$$\frac{5 \cdot 23}{2 ^ {3} \cdot 3} = 4\frac{19}{24} = 4.791666666666667$$