Solve 31/3-45/8div2

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

Evaluate

$$\frac{49}{48}\approx 1.020833333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}-\frac{\frac{4\times 8+5}{8}}{2}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}-\frac{\frac{4\times 8+5}{8}}{2}$$

Express \frac{\frac{4\times 8+5}{8}}{2} as a single fraction.

$$\frac{10}{3}-\frac{4\times 8+5}{8\times 2}$$

Multiply 4 and 8 to get 32.

$$\frac{10}{3}-\frac{32+5}{8\times 2}$$

Add 32 and 5 to get 37.

$$\frac{10}{3}-\frac{37}{8\times 2}$$

Multiply 8 and 2 to get 16.

$$\frac{10}{3}-\frac{37}{16}$$

Least common multiple of 3 and 16 is 48. Convert \frac{10}{3} and \frac{37}{16} to fractions with denominator 48.

$$\frac{160}{48}-\frac{111}{48}$$

Since \frac{160}{48} and \frac{111}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{160-111}{48}$$

Subtract 111 from 160 to get 49.

$$\frac{49}{48}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {4} \cdot 3} = 1\frac{1}{48} = 1.0208333333333333$$