Solve -10^2-13/135+39/11,1/55

$$- 10 ^ { 2 } - \frac { 13 } { 135 } + 3 \frac { 9 } { 11 } , \frac { 1 } { 55 }$$

Sort

$$-\frac{142973}{1485},\frac{1}{55}$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$sort(-100-\frac{13}{135}+\frac{3\times 11+9}{11},\frac{1}{55})$$

Convert -100 to fraction -\frac{13500}{135}.

$$sort(-\frac{13500}{135}-\frac{13}{135}+\frac{3\times 11+9}{11},\frac{1}{55})$$

Since -\frac{13500}{135} and \frac{13}{135} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{-13500-13}{135}+\frac{3\times 11+9}{11},\frac{1}{55})$$

Subtract 13 from -13500 to get -13513.

$$sort(-\frac{13513}{135}+\frac{3\times 11+9}{11},\frac{1}{55})$$

Multiply 3 and 11 to get 33.

$$sort(-\frac{13513}{135}+\frac{33+9}{11},\frac{1}{55})$$

Add 33 and 9 to get 42.

$$sort(-\frac{13513}{135}+\frac{42}{11},\frac{1}{55})$$

Least common multiple of 135 and 11 is 1485. Convert -\frac{13513}{135} and \frac{42}{11} to fractions with denominator 1485.

$$sort(-\frac{148643}{1485}+\frac{5670}{1485},\frac{1}{55})$$

Since -\frac{148643}{1485} and \frac{5670}{1485} have the same denominator, add them by adding their numerators.

$$sort(\frac{-148643+5670}{1485},\frac{1}{55})$$

Add -148643 and 5670 to get -142973.

$$sort(-\frac{142973}{1485},\frac{1}{55})$$

Least common denominator of the numbers in the list -\frac{142973}{1485},\frac{1}{55} is 1485. Convert numbers in the list to fractions with denominator 1485.

$$-\frac{142973}{1485},\frac{27}{1485}$$

Evaluate

$$-\frac{142973}{1485},\frac{1}{55}$$