Solve {l}{1/6*9/10}{3/4*8/9}{5.2}

$$\left. \begin{array} { l } { \frac { 1 } { 6 } \times \frac { 9 } { 10 } } \\ { \frac { 3 } { 4 } \times \frac { 8 } { 9 } } \\ { 5.2 } \end{array} \right.$$

Sort

$$0.15,\ \frac{2}{3},\ 5.2$$

Solution Steps

Multiply \frac{1}{6} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{1\times 9}{6\times 10},\frac{3}{4}\times \frac{8}{9},5.2)$$

Do the multiplications in the fraction \frac{1\times 9}{6\times 10}.

$$sort(\frac{9}{60},\frac{3}{4}\times \frac{8}{9},5.2)$$

Reduce the fraction \frac{9}{60} to lowest terms by extracting and canceling out 3.

$$sort(\frac{3}{20},\frac{3}{4}\times \frac{8}{9},5.2)$$

Multiply \frac{3}{4} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{3}{20},\frac{3\times 8}{4\times 9},5.2)$$

Do the multiplications in the fraction \frac{3\times 8}{4\times 9}.

$$sort(\frac{3}{20},\frac{24}{36},5.2)$$

Reduce the fraction \frac{24}{36} to lowest terms by extracting and canceling out 12.

$$sort(\frac{3}{20},\frac{2}{3},5.2)$$

Convert decimal numbers in the list \frac{3}{20},\frac{2}{3},5.2 to fractions.

$$\frac{3}{20},\frac{2}{3},\frac{26}{5}$$

Least common denominator of the numbers in the list \frac{3}{20},\frac{2}{3},\frac{26}{5} is 60. Convert numbers in the list to fractions with denominator 60.

$$\frac{9}{60},\frac{40}{60},\frac{312}{60}$$

Evaluate

$$0.15,\ \frac{2}{3},\ 5.2$$