Solve {l}{10*15div1.05}{20*25div1.11}

$$\left. \begin{array} { l } { 10 \times 15 \div 1.05 } \\ { 20 \times 25 \div 1.11 } \end{array} \right.$$

Sort

$$\frac{1000}{7},\ \frac{50000}{111}$$

Solution Steps

Multiply 10 and 15 to get 150.

$$sort(\frac{150}{1.05},\frac{20\times 25}{1.11})$$

Expand \frac{150}{1.05} by multiplying both numerator and the denominator by 100.

$$sort(\frac{15000}{105},\frac{20\times 25}{1.11})$$

Reduce the fraction \frac{15000}{105} to lowest terms by extracting and canceling out 15.

$$sort(\frac{1000}{7},\frac{20\times 25}{1.11})$$

Multiply 20 and 25 to get 500.

$$sort(\frac{1000}{7},\frac{500}{1.11})$$

Expand \frac{500}{1.11} by multiplying both numerator and the denominator by 100.

$$sort(\frac{1000}{7},\frac{50000}{111})$$

Least common denominator of the numbers in the list \frac{1000}{7},\frac{50000}{111} is 777. Convert numbers in the list to fractions with denominator 777.

$$\frac{111000}{777},\frac{350000}{777}$$

Evaluate

$$\frac{1000}{7},\ \frac{50000}{111}$$