Solve 2162/3-321/5+813/4=

$$216 \frac { 2 } { 3 } - 32 \frac { 1 } { 5 } + 81 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{15973}{60}\approx 266.216666667$$

Solution Steps

Multiply 216 and 3 to get 648.

$$\frac{648+2}{3}-\frac{32\times 5+1}{5}+\frac{81\times 4+3}{4}$$

Add 648 and 2 to get 650.

$$\frac{650}{3}-\frac{32\times 5+1}{5}+\frac{81\times 4+3}{4}$$

Multiply 32 and 5 to get 160.

$$\frac{650}{3}-\frac{160+1}{5}+\frac{81\times 4+3}{4}$$

Add 160 and 1 to get 161.

$$\frac{650}{3}-\frac{161}{5}+\frac{81\times 4+3}{4}$$

Least common multiple of 3 and 5 is 15. Convert \frac{650}{3} and \frac{161}{5} to fractions with denominator 15.

$$\frac{3250}{15}-\frac{483}{15}+\frac{81\times 4+3}{4}$$

Since \frac{3250}{15} and \frac{483}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3250-483}{15}+\frac{81\times 4+3}{4}$$

Subtract 483 from 3250 to get 2767.

$$\frac{2767}{15}+\frac{81\times 4+3}{4}$$

Multiply 81 and 4 to get 324.

$$\frac{2767}{15}+\frac{324+3}{4}$$

Add 324 and 3 to get 327.

$$\frac{2767}{15}+\frac{327}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{2767}{15} and \frac{327}{4} to fractions with denominator 60.

$$\frac{11068}{60}+\frac{4905}{60}$$

Since \frac{11068}{60} and \frac{4905}{60} have the same denominator, add them by adding their numerators.

$$\frac{11068+4905}{60}$$

Add 11068 and 4905 to get 15973.

$$\frac{15973}{60}$$

Factor

$$\frac{15973}{2 ^ {2} \cdot 3 \cdot 5} = 266\frac{13}{60} = 266.21666666666664$$