Solve 77/8-31/6=

$$7 \frac { 7 } { 8 } - 3 \frac { 1 } { 6 } =$$

Evaluate

$$\frac{113}{24}\approx 4.708333333$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+7}{8}-\frac{3\times 6+1}{6}$$

Add 56 and 7 to get 63.

$$\frac{63}{8}-\frac{3\times 6+1}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{63}{8}-\frac{18+1}{6}$$

Add 18 and 1 to get 19.

$$\frac{63}{8}-\frac{19}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{63}{8} and \frac{19}{6} to fractions with denominator 24.

$$\frac{189}{24}-\frac{76}{24}$$

Since \frac{189}{24} and \frac{76}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{189-76}{24}$$

Subtract 76 from 189 to get 113.

$$\frac{113}{24}$$

Factor

$$\frac{113}{2 ^ {3} \cdot 3} = 4\frac{17}{24} = 4.708333333333333$$