Solve 24/7*49/8*3/14*9/27

$$\frac { 24 } { 7 } \cdot \frac { 49 } { 8 } \cdot \frac { 3 } { 14 } \cdot \frac { 9 } { 27 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply \frac{24}{7} times \frac{49}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 49}{7\times 8}\times \frac{3}{14}\times \frac{9}{27}$$

Do the multiplications in the fraction \frac{24\times 49}{7\times 8}.

$$\frac{1176}{56}\times \frac{3}{14}\times \frac{9}{27}$$

Divide 1176 by 56 to get 21.

$$21\times \frac{3}{14}\times \frac{9}{27}$$

Express 21\times \frac{3}{14} as a single fraction.

$$\frac{21\times 3}{14}\times \frac{9}{27}$$

Multiply 21 and 3 to get 63.

$$\frac{63}{14}\times \frac{9}{27}$$

Reduce the fraction \frac{63}{14} to lowest terms by extracting and canceling out 7.

$$\frac{9}{2}\times \frac{9}{27}$$

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

$$\frac{9}{2}\times \frac{1}{3}$$

Multiply \frac{9}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 1}{2\times 3}$$

Do the multiplications in the fraction \frac{9\times 1}{2\times 3}.

$$\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$