Solve 511/12-43/8=

$$5 \frac { 11 } { 12 } - 4 \frac { 3 } { 8 } =$$

Evaluate

$$\frac{37}{24}\approx 1.541666667$$

Solution Steps

Multiply 5 and 12 to get 60.

$$\frac{60+11}{12}-\frac{4\times 8+3}{8}$$

Add 60 and 11 to get 71.

$$\frac{71}{12}-\frac{4\times 8+3}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{71}{12}-\frac{32+3}{8}$$

Add 32 and 3 to get 35.

$$\frac{71}{12}-\frac{35}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{71}{12} and \frac{35}{8} to fractions with denominator 24.

$$\frac{142}{24}-\frac{105}{24}$$

Since \frac{142}{24} and \frac{105}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{142-105}{24}$$

Subtract 105 from 142 to get 37.

$$\frac{37}{24}$$

Factor

$$\frac{37}{2 ^ {3} \cdot 3} = 1\frac{13}{24} = 1.5416666666666667$$