Solve [34/5*1/2-(2.65-1.55)]div3/2=

$$[ 3 \frac { 4 } { 5 } \times \frac { 1 } { 2 } - ( 2.65 - 1.55 ) ] \div \frac { 3 } { 2 } =$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{\frac{15+4}{5}\times \frac{1}{2}-\left(2.65-1.55\right)}{\frac{3}{2}}$$

Add 15 and 4 to get 19.

$$\frac{\frac{19}{5}\times \frac{1}{2}-\left(2.65-1.55\right)}{\frac{3}{2}}$$

Multiply \frac{19}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{19\times 1}{5\times 2}-\left(2.65-1.55\right)}{\frac{3}{2}}$$

Do the multiplications in the fraction \frac{19\times 1}{5\times 2}.

$$\frac{\frac{19}{10}-\left(2.65-1.55\right)}{\frac{3}{2}}$$

Subtract 1.55 from 2.65 to get 1.1.

$$\frac{\frac{19}{10}-1.1}{\frac{3}{2}}$$

Convert decimal number 1.1 to fraction \frac{11}{10}.

$$\frac{\frac{19}{10}-\frac{11}{10}}{\frac{3}{2}}$$

Since \frac{19}{10} and \frac{11}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{19-11}{10}}{\frac{3}{2}}$$

Subtract 11 from 19 to get 8.

$$\frac{\frac{8}{10}}{\frac{3}{2}}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{4}{5}}{\frac{3}{2}}$$

Divide \frac{4}{5} by \frac{3}{2} by multiplying \frac{4}{5} by the reciprocal of \frac{3}{2}.

$$\frac{4}{5}\times \frac{2}{3}$$

Multiply \frac{4}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 2}{5\times 3}$$

Do the multiplications in the fraction \frac{4\times 2}{5\times 3}.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$