Solve 71/2div1*2-{12*(1/3-0.3)-3/20}

$$7 \frac { 1 } { 2 } \div 1 \cdot 2 - \{ 12 \times ( \frac { 1 } { 3 } - 0.3 ) - \frac { 3 } { 20 } \}$$

Evaluate

$$14.75$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{\frac{14+1}{2}}{1}\times 2-\left(12\left(\frac{1}{3}-0.3\right)-\frac{3}{20}\right)$$

Add 14 and 1 to get 15.

$$\frac{\frac{15}{2}}{1}\times 2-\left(12\left(\frac{1}{3}-0.3\right)-\frac{3}{20}\right)$$

Anything divided by one gives itself.

$$\frac{15}{2}\times 2-\left(12\left(\frac{1}{3}-0.3\right)-\frac{3}{20}\right)$$

Cancel out 2 and 2.

$$15-\left(12\left(\frac{1}{3}-0.3\right)-\frac{3}{20}\right)$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$15-\left(12\left(\frac{1}{3}-\frac{3}{10}\right)-\frac{3}{20}\right)$$

Least common multiple of 3 and 10 is 30. Convert \frac{1}{3} and \frac{3}{10} to fractions with denominator 30.

$$15-\left(12\left(\frac{10}{30}-\frac{9}{30}\right)-\frac{3}{20}\right)$$

Since \frac{10}{30} and \frac{9}{30} have the same denominator, subtract them by subtracting their numerators.

$$15-\left(12\times \frac{10-9}{30}-\frac{3}{20}\right)$$

Subtract 9 from 10 to get 1.

$$15-\left(12\times \frac{1}{30}-\frac{3}{20}\right)$$

Multiply 12 and \frac{1}{30} to get \frac{12}{30}.

$$15-\left(\frac{12}{30}-\frac{3}{20}\right)$$

Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.

$$15-\left(\frac{2}{5}-\frac{3}{20}\right)$$

Least common multiple of 5 and 20 is 20. Convert \frac{2}{5} and \frac{3}{20} to fractions with denominator 20.

$$15-\left(\frac{8}{20}-\frac{3}{20}\right)$$

Since \frac{8}{20} and \frac{3}{20} have the same denominator, subtract them by subtracting their numerators.

$$15-\frac{8-3}{20}$$

Subtract 3 from 8 to get 5.

$$15-\frac{5}{20}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$15-\frac{1}{4}$$

Convert 15 to fraction \frac{60}{4}.

$$\frac{60}{4}-\frac{1}{4}$$

Since \frac{60}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60-1}{4}$$

Subtract 1 from 60 to get 59.

$$\frac{59}{4}$$

Factor

$$\frac{59}{2 ^ {2}} = 14\frac{3}{4} = 14.75$$