Solve 7/8*12/13*8/7

$$\frac { 7 } { 8 } \times \frac { 12 } { 13 } \times \frac { 8 } { 7 }$$

Evaluate

$$\frac{12}{13}\approx 0.923076923$$

Solution Steps

Multiply \frac{7}{8} times \frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 12}{8\times 13}\times \frac{8}{7}$$

Do the multiplications in the fraction \frac{7\times 12}{8\times 13}.

$$\frac{84}{104}\times \frac{8}{7}$$

Reduce the fraction \frac{84}{104} to lowest terms by extracting and canceling out 4.

$$\frac{21}{26}\times \frac{8}{7}$$

Multiply \frac{21}{26} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 8}{26\times 7}$$

Do the multiplications in the fraction \frac{21\times 8}{26\times 7}.

$$\frac{168}{182}$$

Reduce the fraction \frac{168}{182} to lowest terms by extracting and canceling out 14.

$$\frac{12}{13}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{13} = 0.9230769230769231$$