Solve 11/4div{(21/2-11/4)*12/3}

$$1 \frac { 1 } { 4 } \div \{ ( 2 \frac { 1 } { 2 } - 1 \frac { 1 } { 4 } ) \times 1 \frac { 2 } { 3 } \}$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{5}{4} to fractions with denominator 4.

$$\frac{\frac{5}{4}}{\left(\frac{10}{4}-\frac{5}{4}\right)\times \frac{1\times 3+2}{3}}$$

Since \frac{10}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5}{4}}{\frac{10-5}{4}\times \frac{1\times 3+2}{3}}$$

Subtract 5 from 10 to get 5.

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

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

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

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

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

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

$$\frac{\frac{5}{4}}{\frac{25}{12}}$$

Divide \frac{5}{4} by \frac{25}{12} by multiplying \frac{5}{4} by the reciprocal of \frac{25}{12}.

$$\frac{5}{4}\times \frac{12}{25}$$

Multiply \frac{5}{4} times \frac{12}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 12}{4\times 25}$$

Do the multiplications in the fraction \frac{5\times 12}{4\times 25}.

$$\frac{60}{100}$$

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$