Solve 21/22*(22/23*24/25)*23/24

$$\frac { 21 } { 22 } \cdot ( \frac { 22 } { 23 } \cdot \frac { 24 } { 25 } ) \cdot \frac { 23 } { 24 }$$

Evaluate

$$\frac{21}{25}=0.84$$

Solution Steps

Multiply \frac{21}{22} times \frac{22}{23} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 22}{22\times 23}\times \frac{24}{25}\times \frac{23}{24}$$

Cancel out 22 in both numerator and denominator.

$$\frac{21}{23}\times \frac{24}{25}\times \frac{23}{24}$$

Multiply \frac{21}{23} times \frac{24}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 24}{23\times 25}\times \frac{23}{24}$$

Do the multiplications in the fraction \frac{21\times 24}{23\times 25}.

$$\frac{504}{575}\times \frac{23}{24}$$

Multiply \frac{504}{575} times \frac{23}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{504\times 23}{575\times 24}$$

Do the multiplications in the fraction \frac{504\times 23}{575\times 24}.

$$\frac{11592}{13800}$$

Reduce the fraction \frac{11592}{13800} to lowest terms by extracting and canceling out 552.

$$\frac{21}{25}$$

Factor

$$\frac{3 \cdot 7}{5 ^ {2}} = 0.84$$