Solve 35/36-5/8quad18)^frac{9{20}}-11/30quad19)^3frac{3{5}-11/2}

$$\frac { 35 } { 36 } - \frac { 5 } { 8 } \quad 18 ) ^ { \frac { 9 } { 20 } } - \frac { 11 } { 30 } \quad 19 ) ^ { 3 \frac { 3 } { 5 } - 1 \frac { 1 } { 2 } }$$

Evaluate

$$-\frac{185}{18}\approx -10.277777778$$

Solution Steps

Express \frac{5}{8}\times 18 as a single fraction.

$$\frac{35}{36}-\frac{5\times 18}{8}$$

Multiply 5 and 18 to get 90.

$$\frac{35}{36}-\frac{90}{8}$$

Reduce the fraction \frac{90}{8} to lowest terms by extracting and canceling out 2.

$$\frac{35}{36}-\frac{45}{4}$$

Least common multiple of 36 and 4 is 36. Convert \frac{35}{36} and \frac{45}{4} to fractions with denominator 36.

$$\frac{35}{36}-\frac{405}{36}$$

Since \frac{35}{36} and \frac{405}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-405}{36}$$

Subtract 405 from 35 to get -370.

$$\frac{-370}{36}$$

Reduce the fraction \frac{-370}{36} to lowest terms by extracting and canceling out 2.

$$-\frac{185}{18}$$

Factor

$$-\frac{185}{18} = -10\frac{5}{18} = -10.277777777777779$$