Solve {r}{91/4}{-37/12}

$$\left. \begin{array} { r } { 9 \frac { 1 } { 4 } } \\ { - 3 \frac { 7 } { 12 } } \end{array} \right.$$

Evaluate

$$\frac{17}{3}\approx 5.666666667$$

Solution Steps

Multiply 9 and 4 to get 36.

$$\frac{36+1}{4}-\frac{3\times 12+7}{12}$$

Add 36 and 1 to get 37.

$$\frac{37}{4}-\frac{3\times 12+7}{12}$$

Multiply 3 and 12 to get 36.

$$\frac{37}{4}-\frac{36+7}{12}$$

Add 36 and 7 to get 43.

$$\frac{37}{4}-\frac{43}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{37}{4} and \frac{43}{12} to fractions with denominator 12.

$$\frac{111}{12}-\frac{43}{12}$$

Since \frac{111}{12} and \frac{43}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{111-43}{12}$$

Subtract 43 from 111 to get 68.

$$\frac{68}{12}$$

Reduce the fraction \frac{68}{12} to lowest terms by extracting and canceling out 4.

$$\frac{17}{3}$$

Factor

$$\frac{17}{3} = 5\frac{2}{3} = 5.666666666666667$$