Solve 12/5*15/10+(2/3)^2*1,35-3,3:15/6=

$$\frac { 12 } { 5 } \cdot \frac { 15 } { 10 } + ( \frac { 2 } { 3 } ) ^ { 2 } \cdot 1,35 - 3,3 : 1 \frac { 5 } { 6 } =$$

Evaluate

$$2,4$$

Solution Steps

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{12}{5}\times \frac{3}{2}+\left(\frac{2}{3}\right)^{2}\times 1,35-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Multiply \frac{12}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 3}{5\times 2}+\left(\frac{2}{3}\right)^{2}\times 1,35-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Do the multiplications in the fraction \frac{12\times 3}{5\times 2}.

$$\frac{36}{10}+\left(\frac{2}{3}\right)^{2}\times 1,35-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{18}{5}+\left(\frac{2}{3}\right)^{2}\times 1,35-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{18}{5}+\frac{4}{9}\times 1,35-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Convert decimal number 1,35 to fraction \frac{135}{100}. Reduce the fraction \frac{135}{100} to lowest terms by extracting and canceling out 5.

$$\frac{18}{5}+\frac{4}{9}\times \frac{27}{20}-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Multiply \frac{4}{9} times \frac{27}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18}{5}+\frac{4\times 27}{9\times 20}-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Do the multiplications in the fraction \frac{4\times 27}{9\times 20}.

$$\frac{18}{5}+\frac{108}{180}-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Reduce the fraction \frac{108}{180} to lowest terms by extracting and canceling out 36.

$$\frac{18}{5}+\frac{3}{5}-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Since \frac{18}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{18+3}{5}-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Add 18 and 3 to get 21.

$$\frac{21}{5}-\frac{3,3}{\frac{1\times 6+5}{6}}$$

Divide 3,3 by \frac{1\times 6+5}{6} by multiplying 3,3 by the reciprocal of \frac{1\times 6+5}{6}.

$$\frac{21}{5}-\frac{3,3\times 6}{1\times 6+5}$$

Multiply 3,3 and 6 to get 19,8.

$$\frac{21}{5}-\frac{19,8}{1\times 6+5}$$

Multiply 1 and 6 to get 6.

$$\frac{21}{5}-\frac{19,8}{6+5}$$

Add 6 and 5 to get 11.

$$\frac{21}{5}-\frac{19,8}{11}$$

Expand \frac{19,8}{11} by multiplying both numerator and the denominator by 10.

$$\frac{21}{5}-\frac{198}{110}$$

Reduce the fraction \frac{198}{110} to lowest terms by extracting and canceling out 22.

$$\frac{21}{5}-\frac{9}{5}$$

Since \frac{21}{5} and \frac{9}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-9}{5}$$

Subtract 9 from 21 to get 12.

$$\frac{12}{5}$$

Factor

$$\frac{3 \cdot 2 ^ {2}}{5} = 2\frac{2}{5} = 2.4$$