Solve 5/6*7/8*4/5*8/7*frac{3}{4}

$$\frac { 5 } { 6 } \times \frac { 7 } { 8 } \times \frac { 4 } { 5 } \times \frac { 8 } { 7 } \times \frac { 3 } { 4 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply \frac{5}{6} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{6\times 8}\times \frac{4}{5}\times \frac{8}{7}\times \frac{3}{4}$$

Do the multiplications in the fraction \frac{5\times 7}{6\times 8}.

$$\frac{35}{48}\times \frac{4}{5}\times \frac{8}{7}\times \frac{3}{4}$$

Multiply \frac{35}{48} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 4}{48\times 5}\times \frac{8}{7}\times \frac{3}{4}$$

Do the multiplications in the fraction \frac{35\times 4}{48\times 5}.

$$\frac{140}{240}\times \frac{8}{7}\times \frac{3}{4}$$

Reduce the fraction \frac{140}{240} to lowest terms by extracting and canceling out 20.

$$\frac{7}{12}\times \frac{8}{7}\times \frac{3}{4}$$

Multiply \frac{7}{12} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 8}{12\times 7}\times \frac{3}{4}$$

Cancel out 7 in both numerator and denominator.

$$\frac{8}{12}\times \frac{3}{4}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}\times \frac{3}{4}$$

Multiply \frac{2}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{3\times 4}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{4}$$

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

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$