Solve (11/2-1/2div11/2)*3/10

$$( 1 \frac { 1 } { 2 } - \frac { 1 } { 2 } \div 1 \frac { 1 } { 2 } ) \times \frac { 3 } { 10 }$$

Evaluate

$$\frac{7}{20}=0.35$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\left(\frac{2+1}{2}-\frac{\frac{1}{2}}{\frac{1\times 2+1}{2}}\right)\times \frac{3}{10}$$

Add 2 and 1 to get 3.

$$\left(\frac{3}{2}-\frac{\frac{1}{2}}{\frac{1\times 2+1}{2}}\right)\times \frac{3}{10}$$

Divide \frac{1}{2} by \frac{1\times 2+1}{2} by multiplying \frac{1}{2} by the reciprocal of \frac{1\times 2+1}{2}.

$$\left(\frac{3}{2}-\frac{2}{2\left(1\times 2+1\right)}\right)\times \frac{3}{10}$$

Multiply 1 and 2 to get 2.

$$\left(\frac{3}{2}-\frac{2}{2\left(2+1\right)}\right)\times \frac{3}{10}$$

Add 2 and 1 to get 3.

$$\left(\frac{3}{2}-\frac{2}{2\times 3}\right)\times \frac{3}{10}$$

Multiply 2 and 3 to get 6.

$$\left(\frac{3}{2}-\frac{2}{6}\right)\times \frac{3}{10}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\left(\frac{3}{2}-\frac{1}{3}\right)\times \frac{3}{10}$$

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{1}{3} to fractions with denominator 6.

$$\left(\frac{9}{6}-\frac{2}{6}\right)\times \frac{3}{10}$$

Since \frac{9}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{6}\times \frac{3}{10}$$

Subtract 2 from 9 to get 7.

$$\frac{7}{6}\times \frac{3}{10}$$

Multiply \frac{7}{6} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{6\times 10}$$

Do the multiplications in the fraction \frac{7\times 3}{6\times 10}.

$$\frac{21}{60}$$

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

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

Factor

$$\frac{7}{2 ^ {2} \cdot 5} = 0.35$$