Solve 27/63*28/24-72/3

$$\frac { 27 } { 63 } \times \frac { 28 } { 24 } - 7 \frac { 2 } { 3 }$$

Evaluate

$$-\frac{43}{6}\approx -7.166666667$$

Solution Steps

Reduce the fraction \frac{27}{63} to lowest terms by extracting and canceling out 9.

$$\frac{3}{7}\times \frac{28}{24}-\frac{7\times 3+2}{3}$$

Reduce the fraction \frac{28}{24} to lowest terms by extracting and canceling out 4.

$$\frac{3}{7}\times \frac{7}{6}-\frac{7\times 3+2}{3}$$

Multiply \frac{3}{7} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 7}{7\times 6}-\frac{7\times 3+2}{3}$$

Cancel out 7 in both numerator and denominator.

$$\frac{3}{6}-\frac{7\times 3+2}{3}$$

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

$$\frac{1}{2}-\frac{7\times 3+2}{3}$$

Multiply 7 and 3 to get 21.

$$\frac{1}{2}-\frac{21+2}{3}$$

Add 21 and 2 to get 23.

$$\frac{1}{2}-\frac{23}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{23}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{46}{6}$$

Since \frac{3}{6} and \frac{46}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-46}{6}$$

Subtract 46 from 3 to get -43.

$$-\frac{43}{6}$$

Factor

$$-\frac{43}{6} = -7\frac{1}{6} = -7.166666666666667$$