Solve 13/52*12/51*11/50*39/49

$$\frac { 13 } { 52 } \times \frac { 12 } { 51 } \times \frac { 11 } { 50 } \times \frac { 39 } { 49 }$$

Evaluate

$$\frac{429}{41650}\approx 0.01030012$$

Solution Steps

Reduce the fraction \frac{13}{52} to lowest terms by extracting and canceling out 13.

$$\frac{1}{4}\times \frac{12}{51}\times \frac{11}{50}\times \frac{39}{49}$$

Reduce the fraction \frac{12}{51} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}\times \frac{4}{17}\times \frac{11}{50}\times \frac{39}{49}$$

Multiply \frac{1}{4} times \frac{4}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{4\times 17}\times \frac{11}{50}\times \frac{39}{49}$$

Cancel out 4 in both numerator and denominator.

$$\frac{1}{17}\times \frac{11}{50}\times \frac{39}{49}$$

Multiply \frac{1}{17} times \frac{11}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 11}{17\times 50}\times \frac{39}{49}$$

Do the multiplications in the fraction \frac{1\times 11}{17\times 50}.

$$\frac{11}{850}\times \frac{39}{49}$$

Multiply \frac{11}{850} times \frac{39}{49} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 39}{850\times 49}$$

Do the multiplications in the fraction \frac{11\times 39}{850\times 49}.

$$\frac{429}{41650}$$

Factor

$$\frac{3 \cdot 11 \cdot 13}{2 \cdot 5 ^ {2} \cdot 7 ^ {2} \cdot 17} = 0.010300120048019208$$