Solve 271/3-93/4

$$27 \frac { 1 } { 3 } - 9 \frac { 3 } { 4 }$$

Evaluate

$$\frac{211}{12}\approx 17.583333333$$

Solution Steps

Multiply 27 and 3 to get 81.

$$\frac{81+1}{3}-\frac{9\times 4+3}{4}$$

Add 81 and 1 to get 82.

$$\frac{82}{3}-\frac{9\times 4+3}{4}$$

Multiply 9 and 4 to get 36.

$$\frac{82}{3}-\frac{36+3}{4}$$

Add 36 and 3 to get 39.

$$\frac{82}{3}-\frac{39}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{82}{3} and \frac{39}{4} to fractions with denominator 12.

$$\frac{328}{12}-\frac{117}{12}$$

Since \frac{328}{12} and \frac{117}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{328-117}{12}$$

Subtract 117 from 328 to get 211.

$$\frac{211}{12}$$

Factor

$$\frac{211}{2 ^ {2} \cdot 3} = 17\frac{7}{12} = 17.583333333333332$$