Solve 1-{0.4*(11/3+0.75)-0.25}div12/3

$$1 - \{ 0.4 \times ( 1 \frac { 1 } { 3 } + 0.75 ) - 0.25 \} \div 1 \frac { 2 } { 3 }$$

Evaluate

$$0.65$$

Solution Steps

Multiply 1 and 3 to get 3.

$$1-\frac{0.4\left(\frac{3+1}{3}+0.75\right)-0.25}{\frac{1\times 3+2}{3}}$$

Add 3 and 1 to get 4.

$$1-\frac{0.4\left(\frac{4}{3}+0.75\right)-0.25}{\frac{1\times 3+2}{3}}$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$1-\frac{0.4\left(\frac{4}{3}+\frac{3}{4}\right)-0.25}{\frac{1\times 3+2}{3}}$$

Least common multiple of 3 and 4 is 12. Convert \frac{4}{3} and \frac{3}{4} to fractions with denominator 12.

$$1-\frac{0.4\left(\frac{16}{12}+\frac{9}{12}\right)-0.25}{\frac{1\times 3+2}{3}}$$

Since \frac{16}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$1-\frac{0.4\times \frac{16+9}{12}-0.25}{\frac{1\times 3+2}{3}}$$

Add 16 and 9 to get 25.

$$1-\frac{0.4\times \frac{25}{12}-0.25}{\frac{1\times 3+2}{3}}$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$1-\frac{\frac{2}{5}\times \frac{25}{12}-0.25}{\frac{1\times 3+2}{3}}$$

Multiply \frac{2}{5} times \frac{25}{12} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{\frac{2\times 25}{5\times 12}-0.25}{\frac{1\times 3+2}{3}}$$

Do the multiplications in the fraction \frac{2\times 25}{5\times 12}.

$$1-\frac{\frac{50}{60}-0.25}{\frac{1\times 3+2}{3}}$$

Reduce the fraction \frac{50}{60} to lowest terms by extracting and canceling out 10.

$$1-\frac{\frac{5}{6}-0.25}{\frac{1\times 3+2}{3}}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$1-\frac{\frac{5}{6}-\frac{1}{4}}{\frac{1\times 3+2}{3}}$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$1-\frac{\frac{10}{12}-\frac{3}{12}}{\frac{1\times 3+2}{3}}$$

Since \frac{10}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$1-\frac{\frac{10-3}{12}}{\frac{1\times 3+2}{3}}$$

Subtract 3 from 10 to get 7.

$$1-\frac{\frac{7}{12}}{\frac{1\times 3+2}{3}}$$

Multiply 1 and 3 to get 3.

$$1-\frac{\frac{7}{12}}{\frac{3+2}{3}}$$

Add 3 and 2 to get 5.

$$1-\frac{\frac{7}{12}}{\frac{5}{3}}$$

Divide \frac{7}{12} by \frac{5}{3} by multiplying \frac{7}{12} by the reciprocal of \frac{5}{3}.

$$1-\frac{7}{12}\times \frac{3}{5}$$

Multiply \frac{7}{12} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{7\times 3}{12\times 5}$$

Do the multiplications in the fraction \frac{7\times 3}{12\times 5}.

$$1-\frac{21}{60}$$

Reduce the fraction \frac{21}{60} to lowest terms by extracting and canceling out 3.

$$1-\frac{7}{20}$$

Convert 1 to fraction \frac{20}{20}.

$$\frac{20}{20}-\frac{7}{20}$$

Since \frac{20}{20} and \frac{7}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-7}{20}$$

Subtract 7 from 20 to get 13.

$$\frac{13}{20}$$

Factor

$$\frac{13}{5 \cdot 2 ^ {2}} = 0.65$$