Solve 641/6-101/2*51/3

$$64 \frac { 1 } { 6 } - 10 \frac { 1 } { 2 } \times 5 \frac { 1 } { 3 }$$

Evaluate

$$\frac{49}{6}\approx 8.166666667$$

Solution Steps

Multiply 64 and 6 to get 384.

$$\frac{384+1}{6}-\frac{10\times 2+1}{2}\times \frac{5\times 3+1}{3}$$

Add 384 and 1 to get 385.

$$\frac{385}{6}-\frac{10\times 2+1}{2}\times \frac{5\times 3+1}{3}$$

Multiply 10 and 2 to get 20.

$$\frac{385}{6}-\frac{20+1}{2}\times \frac{5\times 3+1}{3}$$

Add 20 and 1 to get 21.

$$\frac{385}{6}-\frac{21}{2}\times \frac{5\times 3+1}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{385}{6}-\frac{21}{2}\times \frac{15+1}{3}$$

Add 15 and 1 to get 16.

$$\frac{385}{6}-\frac{21}{2}\times \frac{16}{3}$$

Multiply \frac{21}{2} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{385}{6}-\frac{21\times 16}{2\times 3}$$

Do the multiplications in the fraction \frac{21\times 16}{2\times 3}.

$$\frac{385}{6}-\frac{336}{6}$$

Since \frac{385}{6} and \frac{336}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{385-336}{6}$$

Subtract 336 from 385 to get 49.

$$\frac{49}{6}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 3} = 8\frac{1}{6} = 8.166666666666666$$