Solve 45/8-22/3=

$$4 \frac { 5 } { 8 } - 2 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{47}{24}\approx 1.958333333$$

Solution Steps

Multiply 4 and 8 to get 32.

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

Add 32 and 5 to get 37.

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

Multiply 2 and 3 to get 6.

$$\frac{37}{8}-\frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{37}{8}-\frac{8}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{37}{8} and \frac{8}{3} to fractions with denominator 24.

$$\frac{111}{24}-\frac{64}{24}$$

Since \frac{111}{24} and \frac{64}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{111-64}{24}$$

Subtract 64 from 111 to get 47.

$$\frac{47}{24}$$

Factor

$$\frac{47}{2 ^ {3} \cdot 3} = 1\frac{23}{24} = 1.9583333333333333$$