Solve 241/3-81/2-85/4

$$24 \frac{ 1 }{ 3 } -8 \frac{ 1 }{ 2 } -8 \frac{ 5 }{ 4 }$$

Evaluate

$$\frac{79}{12}\approx 6.583333333$$

Solution Steps

Multiply 24 and 3 to get 72.

$$\frac{72+1}{3}-\frac{8\times 2+1}{2}-\frac{8\times 4+5}{4}$$

Add 72 and 1 to get 73.

$$\frac{73}{3}-\frac{8\times 2+1}{2}-\frac{8\times 4+5}{4}$$

Multiply 8 and 2 to get 16.

$$\frac{73}{3}-\frac{16+1}{2}-\frac{8\times 4+5}{4}$$

Add 16 and 1 to get 17.

$$\frac{73}{3}-\frac{17}{2}-\frac{8\times 4+5}{4}$$

Least common multiple of 3 and 2 is 6. Convert \frac{73}{3} and \frac{17}{2} to fractions with denominator 6.

$$\frac{146}{6}-\frac{51}{6}-\frac{8\times 4+5}{4}$$

Since \frac{146}{6} and \frac{51}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{146-51}{6}-\frac{8\times 4+5}{4}$$

Subtract 51 from 146 to get 95.

$$\frac{95}{6}-\frac{8\times 4+5}{4}$$

Multiply 8 and 4 to get 32.

$$\frac{95}{6}-\frac{32+5}{4}$$

Add 32 and 5 to get 37.

$$\frac{95}{6}-\frac{37}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{95}{6} and \frac{37}{4} to fractions with denominator 12.

$$\frac{190}{12}-\frac{111}{12}$$

Since \frac{190}{12} and \frac{111}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{190-111}{12}$$

Subtract 111 from 190 to get 79.

$$\frac{79}{12}$$

Factor

$$\frac{79}{2 ^ {2} \cdot 3} = 6\frac{7}{12} = 6.583333333333333$$