Solve 245/8-71/6

$$24 \frac { 5 } { 8 } - 7 \frac { 1 } { 6 }$$

Evaluate

$$\frac{419}{24}\approx 17.458333333$$

Solution Steps

Multiply 24 and 8 to get 192.

$$\frac{192+5}{8}-\frac{7\times 6+1}{6}$$

Add 192 and 5 to get 197.

$$\frac{197}{8}-\frac{7\times 6+1}{6}$$

Multiply 7 and 6 to get 42.

$$\frac{197}{8}-\frac{42+1}{6}$$

Add 42 and 1 to get 43.

$$\frac{197}{8}-\frac{43}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{197}{8} and \frac{43}{6} to fractions with denominator 24.

$$\frac{591}{24}-\frac{172}{24}$$

Since \frac{591}{24} and \frac{172}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{591-172}{24}$$

Subtract 172 from 591 to get 419.

$$\frac{419}{24}$$

Factor

$$\frac{419}{2 ^ {3} \cdot 3} = 17\frac{11}{24} = 17.458333333333332$$