Solve 35/6+43/4-5-13/8

$$3 \frac { 5 } { 6 } + 4 \frac { 3 } { 4 } - 5 - 1 \frac { 3 } { 8 }$$

Evaluate

$$\frac{53}{24}\approx 2.208333333$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+5}{6}+\frac{4\times 4+3}{4}-5-\frac{1\times 8+3}{8}$$

Add 18 and 5 to get 23.

$$\frac{23}{6}+\frac{4\times 4+3}{4}-5-\frac{1\times 8+3}{8}$$

Multiply 4 and 4 to get 16.

$$\frac{23}{6}+\frac{16+3}{4}-5-\frac{1\times 8+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{23}{6}+\frac{19}{4}-5-\frac{1\times 8+3}{8}$$

Least common multiple of 6 and 4 is 12. Convert \frac{23}{6} and \frac{19}{4} to fractions with denominator 12.

$$\frac{46}{12}+\frac{57}{12}-5-\frac{1\times 8+3}{8}$$

Since \frac{46}{12} and \frac{57}{12} have the same denominator, add them by adding their numerators.

$$\frac{46+57}{12}-5-\frac{1\times 8+3}{8}$$

Add 46 and 57 to get 103.

$$\frac{103}{12}-5-\frac{1\times 8+3}{8}$$

Convert 5 to fraction \frac{60}{12}.

$$\frac{103}{12}-\frac{60}{12}-\frac{1\times 8+3}{8}$$

Since \frac{103}{12} and \frac{60}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{103-60}{12}-\frac{1\times 8+3}{8}$$

Subtract 60 from 103 to get 43.

$$\frac{43}{12}-\frac{1\times 8+3}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{43}{12}-\frac{8+3}{8}$$

Add 8 and 3 to get 11.

$$\frac{43}{12}-\frac{11}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{43}{12} and \frac{11}{8} to fractions with denominator 24.

$$\frac{86}{24}-\frac{33}{24}$$

Since \frac{86}{24} and \frac{33}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{86-33}{24}$$

Subtract 33 from 86 to get 53.

$$\frac{53}{24}$$

Factor

$$\frac{53}{2 ^ {3} \cdot 3} = 2\frac{5}{24} = 2.2083333333333335$$