Solve 13/20div3/4*5/6-3/6

$$\frac { 13 } { 20 } \div \frac { 3 } { 4 } \times \frac { 5 } { 6 } - \frac { 3 } { 6 }$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Divide \frac{13}{20} by \frac{3}{4} by multiplying \frac{13}{20} by the reciprocal of \frac{3}{4}.

$$\frac{13}{20}\times \frac{4}{3}\times \frac{5}{6}-\frac{3}{6}$$

Multiply \frac{13}{20} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 4}{20\times 3}\times \frac{5}{6}-\frac{3}{6}$$

Do the multiplications in the fraction \frac{13\times 4}{20\times 3}.

$$\frac{52}{60}\times \frac{5}{6}-\frac{3}{6}$$

Reduce the fraction \frac{52}{60} to lowest terms by extracting and canceling out 4.

$$\frac{13}{15}\times \frac{5}{6}-\frac{3}{6}$$

Multiply \frac{13}{15} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 5}{15\times 6}-\frac{3}{6}$$

Do the multiplications in the fraction \frac{13\times 5}{15\times 6}.

$$\frac{65}{90}-\frac{3}{6}$$

Reduce the fraction \frac{65}{90} to lowest terms by extracting and canceling out 5.

$$\frac{13}{18}-\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{13}{18}-\frac{1}{2}$$

Least common multiple of 18 and 2 is 18. Convert \frac{13}{18} and \frac{1}{2} to fractions with denominator 18.

$$\frac{13}{18}-\frac{9}{18}$$

Since \frac{13}{18} and \frac{9}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-9}{18}$$

Subtract 9 from 13 to get 4.

$$\frac{4}{18}$$

Reduce the fraction \frac{4}{18} to lowest terms by extracting and canceling out 2.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$