Solve {l}{7.8*(0.2768+27.68-2.768)div13.3}{7.8*251888div13.3}

$$\left. \begin{array} { l } { 7.8 \times ( 0.2768 + 27.68 - 2.768 ) \div 13.3 } \\ { 7.8 \times 251888 \div 13.3 } \end{array} \right.$$

Sort

$$\frac{175422}{11875},\ \frac{2806752}{19}$$

Solution Steps

Add 0.2768 and 27.68 to get 27.9568.

$$sort(\frac{7.8\left(27.9568-2.768\right)}{13.3},\frac{7.8\times 251888}{13.3})$$

Subtract 2.768 from 27.9568 to get 25.1888.

$$sort(\frac{7.8\times 25.1888}{13.3},\frac{7.8\times 251888}{13.3})$$

Multiply 7.8 and 25.1888 to get 196.47264.

$$sort(\frac{196.47264}{13.3},\frac{7.8\times 251888}{13.3})$$

Expand \frac{196.47264}{13.3} by multiplying both numerator and the denominator by 100000.

$$sort(\frac{19647264}{1330000},\frac{7.8\times 251888}{13.3})$$

Reduce the fraction \frac{19647264}{1330000} to lowest terms by extracting and canceling out 112.

$$sort(\frac{175422}{11875},\frac{7.8\times 251888}{13.3})$$

Multiply 7.8 and 251888 to get 1964726.4.

$$sort(\frac{175422}{11875},\frac{1964726.4}{13.3})$$

Expand \frac{1964726.4}{13.3} by multiplying both numerator and the denominator by 10.

$$sort(\frac{175422}{11875},\frac{19647264}{133})$$

Reduce the fraction \frac{19647264}{133} to lowest terms by extracting and canceling out 7.

$$sort(\frac{175422}{11875},\frac{2806752}{19})$$

Least common denominator of the numbers in the list \frac{175422}{11875},\frac{2806752}{19} is 11875. Convert numbers in the list to fractions with denominator 11875.

$$\frac{175422}{11875},\frac{1754220000}{11875}$$

Evaluate

$$\frac{175422}{11875},\ \frac{2806752}{19}$$