Solve 4/24*20/23*19/22*18/21

$$\frac{ 4 }{ 24 } \times \frac{ 20 }{ 23 } \times \frac{ 19 }{ 22 } \times \frac{ 18 }{ 21 }$$

Evaluate

$$\frac{190}{1771}\approx 0.10728402$$

Solution Steps

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}\times \frac{20}{23}\times \frac{19}{22}\times \frac{18}{21}$$

Multiply \frac{1}{6} times \frac{20}{23} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 20}{6\times 23}\times \frac{19}{22}\times \frac{18}{21}$$

Do the multiplications in the fraction \frac{1\times 20}{6\times 23}.

$$\frac{20}{138}\times \frac{19}{22}\times \frac{18}{21}$$

Reduce the fraction \frac{20}{138} to lowest terms by extracting and canceling out 2.

$$\frac{10}{69}\times \frac{19}{22}\times \frac{18}{21}$$

Multiply \frac{10}{69} times \frac{19}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 19}{69\times 22}\times \frac{18}{21}$$

Do the multiplications in the fraction \frac{10\times 19}{69\times 22}.

$$\frac{190}{1518}\times \frac{18}{21}$$

Reduce the fraction \frac{190}{1518} to lowest terms by extracting and canceling out 2.

$$\frac{95}{759}\times \frac{18}{21}$$

Reduce the fraction \frac{18}{21} to lowest terms by extracting and canceling out 3.

$$\frac{95}{759}\times \frac{6}{7}$$

Multiply \frac{95}{759} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{95\times 6}{759\times 7}$$

Do the multiplications in the fraction \frac{95\times 6}{759\times 7}.

$$\frac{570}{5313}$$

Reduce the fraction \frac{570}{5313} to lowest terms by extracting and canceling out 3.

$$\frac{190}{1771}$$

Factor

$$\frac{2 \cdot 5 \cdot 19}{7 \cdot 11 \cdot 23} = 0.10728402032749859$$