Solve {l}{1/3(3.14)(2^2)}{(2.4)}

$$\left. \begin{array} { l } { \frac { 1 } { 3 } ( 3.14 ) ( 2 ^ { 2 } ) } \\ { ( 2.4 ) } \end{array} \right.$$

Sort

$$2.4,\frac{314}{75}$$

Solution Steps

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$sort(\frac{1}{3}\times \frac{157}{50}\times 2^{2},2.4)$$

Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{1\times 157}{3\times 50}\times 2^{2},2.4)$$

Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.

$$sort(\frac{157}{150}\times 2^{2},2.4)$$

Calculate 2 to the power of 2 and get 4.

$$sort(\frac{157}{150}\times 4,2.4)$$

Express \frac{157}{150}\times 4 as a single fraction.

$$sort(\frac{157\times 4}{150},2.4)$$

Multiply 157 and 4 to get 628.

$$sort(\frac{628}{150},2.4)$$

Reduce the fraction \frac{628}{150} to lowest terms by extracting and canceling out 2.

$$sort(\frac{314}{75},2.4)$$

Convert decimal numbers in the list \frac{314}{75},2.4 to fractions.

$$\frac{314}{75},\frac{12}{5}$$

Least common denominator of the numbers in the list \frac{314}{75},\frac{12}{5} is 75. Convert numbers in the list to fractions with denominator 75.

$$\frac{314}{75},\frac{180}{75}$$

To sort the list, start from a single element \frac{314}{75}.

$$\frac{314}{75}$$

Insert \frac{180}{75} to the appropriate location in the new list.

$$\frac{180}{75},\frac{314}{75}$$

Replace the obtained fractions with the initial values.

$$2.4,\frac{314}{75}$$

Evaluate

$$\frac{314}{75},\ 2.4$$