Solve 52/3*1/6-43/8*21/2=

$$5 \frac { 2 } { 3 } \cdot \frac { 1 } { 6 } - 4 \frac { 3 } { 8 } \cdot 2 \frac { 1 } { 2 } =$$

Evaluate

$$-\frac{1439}{144}\approx -9.993055556$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}\times \frac{1}{6}-\frac{4\times 8+3}{8}\times \frac{2\times 2+1}{2}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}\times \frac{1}{6}-\frac{4\times 8+3}{8}\times \frac{2\times 2+1}{2}$$

Multiply \frac{17}{3} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 1}{3\times 6}-\frac{4\times 8+3}{8}\times \frac{2\times 2+1}{2}$$

Do the multiplications in the fraction \frac{17\times 1}{3\times 6}.

$$\frac{17}{18}-\frac{4\times 8+3}{8}\times \frac{2\times 2+1}{2}$$

Multiply 4 and 8 to get 32.

$$\frac{17}{18}-\frac{32+3}{8}\times \frac{2\times 2+1}{2}$$

Add 32 and 3 to get 35.

$$\frac{17}{18}-\frac{35}{8}\times \frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{17}{18}-\frac{35}{8}\times \frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{17}{18}-\frac{35}{8}\times \frac{5}{2}$$

Multiply \frac{35}{8} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17}{18}-\frac{35\times 5}{8\times 2}$$

Do the multiplications in the fraction \frac{35\times 5}{8\times 2}.

$$\frac{17}{18}-\frac{175}{16}$$

Least common multiple of 18 and 16 is 144. Convert \frac{17}{18} and \frac{175}{16} to fractions with denominator 144.

$$\frac{136}{144}-\frac{1575}{144}$$

Since \frac{136}{144} and \frac{1575}{144} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-1575}{144}$$

Subtract 1575 from 136 to get -1439.

$$-\frac{1439}{144}$$

Factor

$$-\frac{1439}{144} = -9\frac{143}{144} = -9.993055555555555$$