Solve 1/10+0,36)*15/14-sqrt[3]{sqrt{64}}-(-2/3)^-2

$$\frac { 1 } { 10 } + 0,36 ) \cdot \frac { 15 } { 14 } - \sqrt[ 3 ] { \sqrt { 64 } } - ( - \frac { 2 } { 3 } ) ^ { - 2 }$$

Evaluate

$$0.46$$

Solution Steps

Convert decimal number 0.36 to fraction \frac{36}{100}. Reduce the fraction \frac{36}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{10}+\frac{9}{25}$$

Least common multiple of 10 and 25 is 50. Convert \frac{1}{10} and \frac{9}{25} to fractions with denominator 50.

$$\frac{5}{50}+\frac{18}{50}$$

Since \frac{5}{50} and \frac{18}{50} have the same denominator, add them by adding their numerators.

$$\frac{5+18}{50}$$

Add 5 and 18 to get 23.

$$\frac{23}{50}$$

Factor

$$\frac{23}{2 \cdot 5 ^ {2}} = 0.46$$