Solve (32)3/5*(64)-1/6*(8)-1/3

$$( 32 ) 3 / 5 \times ( 64 ) - 1 / 6 \times ( 8 ) - 1 / 3$$

Evaluate

$$\frac{18407}{15}\approx 1227.133333333$$

Solution Steps

Express 32\times \frac{3}{5} as a single fraction.

$$\frac{32\times 3}{5}\times 64-\frac{1}{6}\times 8-\frac{1}{3}$$

Multiply 32 and 3 to get 96.

$$\frac{96}{5}\times 64-\frac{1}{6}\times 8-\frac{1}{3}$$

Express \frac{96}{5}\times 64 as a single fraction.

$$\frac{96\times 64}{5}-\frac{1}{6}\times 8-\frac{1}{3}$$

Multiply 96 and 64 to get 6144.

$$\frac{6144}{5}-\frac{1}{6}\times 8-\frac{1}{3}$$

Multiply \frac{1}{6} and 8 to get \frac{8}{6}.

$$\frac{6144}{5}-\frac{8}{6}-\frac{1}{3}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{6144}{5}-\frac{4}{3}-\frac{1}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{6144}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{18432}{15}-\frac{20}{15}-\frac{1}{3}$$

Since \frac{18432}{15} and \frac{20}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18432-20}{15}-\frac{1}{3}$$

Subtract 20 from 18432 to get 18412.

$$\frac{18412}{15}-\frac{1}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{18412}{15} and \frac{1}{3} to fractions with denominator 15.

$$\frac{18412}{15}-\frac{5}{15}$$

Since \frac{18412}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18412-5}{15}$$

Subtract 5 from 18412 to get 18407.

$$\frac{18407}{15}$$

Factor

$$\frac{79 \cdot 233}{3 \cdot 5} = 1227\frac{2}{15} = 1227.1333333333334$$