Solve 71/6-53/4

$$7 \frac { 1 } { 6 } - 5 \frac { 3 } { 4 }$$

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Multiply 7 and 6 to get 42.

$$\frac{42+1}{6}-\frac{5\times 4+3}{4}$$

Add 42 and 1 to get 43.

$$\frac{43}{6}-\frac{5\times 4+3}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{43}{6}-\frac{20+3}{4}$$

Add 20 and 3 to get 23.

$$\frac{43}{6}-\frac{23}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{43}{6} and \frac{23}{4} to fractions with denominator 12.

$$\frac{86}{12}-\frac{69}{12}$$

Since \frac{86}{12} and \frac{69}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{86-69}{12}$$

Subtract 69 from 86 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$