Solve 11/3*41/2+52/3-21/4

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

Evaluate

$$\frac{113}{12}\approx 9.416666667$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

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

Multiply 4 and 2 to get 8.

$$\frac{4}{3}\times \frac{8+1}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{4}{3}\times \frac{9}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Multiply \frac{4}{3} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 9}{3\times 2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Do the multiplications in the fraction \frac{4\times 9}{3\times 2}.

$$\frac{36}{6}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Divide 36 by 6 to get 6.

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

Multiply 5 and 3 to get 15.

$$6+\frac{15+2}{3}-\frac{2\times 4+1}{4}$$

Add 15 and 2 to get 17.

$$6+\frac{17}{3}-\frac{2\times 4+1}{4}$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{18}{3}+\frac{17}{3}-\frac{2\times 4+1}{4}$$

Since \frac{18}{3} and \frac{17}{3} have the same denominator, add them by adding their numerators.

$$\frac{18+17}{3}-\frac{2\times 4+1}{4}$$

Add 18 and 17 to get 35.

$$\frac{35}{3}-\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{35}{3}-\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{35}{3}-\frac{9}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{35}{3} and \frac{9}{4} to fractions with denominator 12.

$$\frac{140}{12}-\frac{27}{12}$$

Since \frac{140}{12} and \frac{27}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{140-27}{12}$$

Subtract 27 from 140 to get 113.

$$\frac{113}{12}$$

Factor

$$\frac{113}{2 ^ {2} \cdot 3} = 9\frac{5}{12} = 9.416666666666666$$