Solve {(131/3-121/2)div5/6}text{of}3/8

$$\{ ( 13 \frac { 1 } { 3 } - 12 \frac { 1 } { 2 } ) \div \frac { 5 } { 6 } \} \text { of } \frac { 3 } { 8 }$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Multiply 13 and 3 to get 39.

$$\frac{\frac{39+1}{3}-\frac{12\times 2+1}{2}}{\frac{5}{6}}\times \frac{3}{8}$$

Add 39 and 1 to get 40.

$$\frac{\frac{40}{3}-\frac{12\times 2+1}{2}}{\frac{5}{6}}\times \frac{3}{8}$$

Multiply 12 and 2 to get 24.

$$\frac{\frac{40}{3}-\frac{24+1}{2}}{\frac{5}{6}}\times \frac{3}{8}$$

Add 24 and 1 to get 25.

$$\frac{\frac{40}{3}-\frac{25}{2}}{\frac{5}{6}}\times \frac{3}{8}$$

Least common multiple of 3 and 2 is 6. Convert \frac{40}{3} and \frac{25}{2} to fractions with denominator 6.

$$\frac{\frac{80}{6}-\frac{75}{6}}{\frac{5}{6}}\times \frac{3}{8}$$

Since \frac{80}{6} and \frac{75}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{80-75}{6}}{\frac{5}{6}}\times \frac{3}{8}$$

Subtract 75 from 80 to get 5.

$$\frac{\frac{5}{6}}{\frac{5}{6}}\times \frac{3}{8}$$

Divide \frac{5}{6} by \frac{5}{6} to get 1.

$$1\times \frac{3}{8}$$

Multiply 1 and \frac{3}{8} to get \frac{3}{8}.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$