Solve {c}{5/12:15/8-2/9}{2quad2.9}

$$\left. \begin{array} { c } { \frac { 5 } { 12 } : \frac { 15 } { 8 } - \frac { 2 } { 9 } } \\ { 2 \quad 2.9 } \end{array} \right.$$

Sort

$$0,\ 22.9$$

Solution Steps

Divide \frac{5}{12} by \frac{15}{8} by multiplying \frac{5}{12} by the reciprocal of \frac{15}{8}.

$$sort(\frac{5}{12}\times \frac{8}{15}-\frac{2}{9},22.9)$$

Multiply \frac{5}{12} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{5\times 8}{12\times 15}-\frac{2}{9},22.9)$$

Do the multiplications in the fraction \frac{5\times 8}{12\times 15}.

$$sort(\frac{40}{180}-\frac{2}{9},22.9)$$

Reduce the fraction \frac{40}{180} to lowest terms by extracting and canceling out 20.

$$sort(\frac{2}{9}-\frac{2}{9},22.9)$$

Subtract \frac{2}{9} from \frac{2}{9} to get 0.

$$sort(0,22.9)$$

The list values are already in order.

$$0,22.9$$

Evaluate

$$0,\ 22.9$$