Solve 21/2-11/3/4frac{1{4}-11/3}

$$\frac { 2 \frac { 1 } { 2 } - 1 \frac { 1 } { 3 } } { 4 \frac { 1 } { 4 } - 1 \frac { 1 } { 3 } }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

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

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{\frac{15}{6}-\frac{8}{6}}{\frac{4\times 4+1}{4}-\frac{1\times 3+1}{3}}$$

Since \frac{15}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15-8}{6}}{\frac{4\times 4+1}{4}-\frac{1\times 3+1}{3}}$$

Subtract 8 from 15 to get 7.

$$\frac{\frac{7}{6}}{\frac{4\times 4+1}{4}-\frac{1\times 3+1}{3}}$$

Multiply 4 and 4 to get 16.

$$\frac{\frac{7}{6}}{\frac{16+1}{4}-\frac{1\times 3+1}{3}}$$

Add 16 and 1 to get 17.

$$\frac{\frac{7}{6}}{\frac{17}{4}-\frac{1\times 3+1}{3}}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{7}{6}}{\frac{17}{4}-\frac{3+1}{3}}$$

Add 3 and 1 to get 4.

$$\frac{\frac{7}{6}}{\frac{17}{4}-\frac{4}{3}}$$

Least common multiple of 4 and 3 is 12. Convert \frac{17}{4} and \frac{4}{3} to fractions with denominator 12.

$$\frac{\frac{7}{6}}{\frac{51}{12}-\frac{16}{12}}$$

Since \frac{51}{12} and \frac{16}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{7}{6}}{\frac{51-16}{12}}$$

Subtract 16 from 51 to get 35.

$$\frac{\frac{7}{6}}{\frac{35}{12}}$$

Divide \frac{7}{6} by \frac{35}{12} by multiplying \frac{7}{6} by the reciprocal of \frac{35}{12}.

$$\frac{7}{6}\times \frac{12}{35}$$

Multiply \frac{7}{6} times \frac{12}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 12}{6\times 35}$$

Do the multiplications in the fraction \frac{7\times 12}{6\times 35}.

$$\frac{84}{210}$$

Reduce the fraction \frac{84}{210} to lowest terms by extracting and canceling out 42.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$