Solve 62/3*41/12-8*41/12*41/12*frac{1}{2}

$$\frac { 62 } { 3 } \times \frac { 41 } { 12 } - 8 \times \frac { 41 } { 12 } \times \frac { 41 } { 12 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{287}{12}\approx 23.916666667$$

Solution Steps

Multiply \frac{62}{3} times \frac{41}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{62\times 41}{3\times 12}-8\times \frac{41}{12}\times \frac{41}{12}\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{62\times 41}{3\times 12}.

$$\frac{2542}{36}-8\times \frac{41}{12}\times \frac{41}{12}\times \frac{1}{2}$$

Reduce the fraction \frac{2542}{36} to lowest terms by extracting and canceling out 2.

$$\frac{1271}{18}-8\times \frac{41}{12}\times \frac{41}{12}\times \frac{1}{2}$$

Express 8\times \frac{41}{12} as a single fraction.

$$\frac{1271}{18}-\frac{8\times 41}{12}\times \frac{41}{12}\times \frac{1}{2}$$

Multiply 8 and 41 to get 328.

$$\frac{1271}{18}-\frac{328}{12}\times \frac{41}{12}\times \frac{1}{2}$$

Reduce the fraction \frac{328}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1271}{18}-\frac{82}{3}\times \frac{41}{12}\times \frac{1}{2}$$

Multiply \frac{82}{3} times \frac{41}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1271}{18}-\frac{82\times 41}{3\times 12}\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{82\times 41}{3\times 12}.

$$\frac{1271}{18}-\frac{3362}{36}\times \frac{1}{2}$$

Reduce the fraction \frac{3362}{36} to lowest terms by extracting and canceling out 2.

$$\frac{1271}{18}-\frac{1681}{18}\times \frac{1}{2}$$

Multiply \frac{1681}{18} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1271}{18}-\frac{1681\times 1}{18\times 2}$$

Do the multiplications in the fraction \frac{1681\times 1}{18\times 2}.

$$\frac{1271}{18}-\frac{1681}{36}$$

Least common multiple of 18 and 36 is 36. Convert \frac{1271}{18} and \frac{1681}{36} to fractions with denominator 36.

$$\frac{2542}{36}-\frac{1681}{36}$$

Since \frac{2542}{36} and \frac{1681}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2542-1681}{36}$$

Subtract 1681 from 2542 to get 861.

$$\frac{861}{36}$$

Reduce the fraction \frac{861}{36} to lowest terms by extracting and canceling out 3.

$$\frac{287}{12}$$

Factor

$$\frac{7 \cdot 41}{2 ^ {2} \cdot 3} = 23\frac{11}{12} = 23.916666666666668$$