Solve {l}{24+1+3/frac{6-1*7{-3+3+6}}}{1/8+3*4}

$$\left. \begin{array} { l } { \frac { 24 + 1 + 3 } { \frac { 6 - 1 \times 7 } { - 3 + 3 + 6 } } } \\ { \frac { 1 } { 8 + 3 \times 4 } } \end{array} \right.$$

Sort

$$-168,\ \frac{1}{20}$$

Solution Steps

Add 24 and 1 to get 25.

$$sort(\frac{25+3}{\frac{6-1\times 7}{-3+3+6}},\frac{1}{8+3\times 4})$$

Add 25 and 3 to get 28.

$$sort(\frac{28}{\frac{6-1\times 7}{-3+3+6}},\frac{1}{8+3\times 4})$$

Multiply 1 and 7 to get 7.

$$sort(\frac{28}{\frac{6-7}{-3+3+6}},\frac{1}{8+3\times 4})$$

Subtract 7 from 6 to get -1.

$$sort(\frac{28}{\frac{-1}{-3+3+6}},\frac{1}{8+3\times 4})$$

Add -3 and 3 to get 0.

$$sort(\frac{28}{\frac{-1}{6}},\frac{1}{8+3\times 4})$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$sort(\frac{28}{-\frac{1}{6}},\frac{1}{8+3\times 4})$$

Divide 28 by -\frac{1}{6} by multiplying 28 by the reciprocal of -\frac{1}{6}.

$$sort(28\left(-6\right),\frac{1}{8+3\times 4})$$

Multiply 28 and -6 to get -168.

$$sort(-168,\frac{1}{8+3\times 4})$$

Multiply 3 and 4 to get 12.

$$sort(-168,\frac{1}{8+12})$$

Add 8 and 12 to get 20.

$$sort(-168,\frac{1}{20})$$

Convert decimal numbers in the list -168,\frac{1}{20} to fractions.

$$-168,\frac{1}{20}$$

Evaluate

$$-168,\ \frac{1}{20}$$