Solve 8/9*48/50*7/6

$$\frac { 8 } { 9 } \times \frac { 48 } { 50 } \times \frac { 7 } { 6 }$$

Evaluate

$$\frac{224}{225}\approx 0.995555556$$

Solution Steps

Reduce the fraction \frac{48}{50} to lowest terms by extracting and canceling out 2.

$$\frac{8}{9}\times \frac{24}{25}\times \frac{7}{6}$$

Multiply \frac{8}{9} times \frac{24}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 24}{9\times 25}\times \frac{7}{6}$$

Do the multiplications in the fraction \frac{8\times 24}{9\times 25}.

$$\frac{192}{225}\times \frac{7}{6}$$

Reduce the fraction \frac{192}{225} to lowest terms by extracting and canceling out 3.

$$\frac{64}{75}\times \frac{7}{6}$$

Multiply \frac{64}{75} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{64\times 7}{75\times 6}$$

Do the multiplications in the fraction \frac{64\times 7}{75\times 6}.

$$\frac{448}{450}$$

Reduce the fraction \frac{448}{450} to lowest terms by extracting and canceling out 2.

$$\frac{224}{225}$$

Factor

$$\frac{2 ^ {5} \cdot 7}{3 ^ {2} \cdot 5 ^ {2}} = 0.9955555555555555$$