Solve 101/16*31/101*13/52

$$10 \frac { 1 } { 16 } \times 3 \frac { 1 } { 101 } \times 1 \frac { 3 } { 52 }$$

Evaluate

$$\frac{168245}{5252}\approx 32.034463062$$

Solution Steps

Multiply 10 and 16 to get 160.

$$\frac{160+1}{16}\times \frac{3\times 101+1}{101}\times \frac{1\times 52+3}{52}$$

Add 160 and 1 to get 161.

$$\frac{161}{16}\times \frac{3\times 101+1}{101}\times \frac{1\times 52+3}{52}$$

Multiply 3 and 101 to get 303.

$$\frac{161}{16}\times \frac{303+1}{101}\times \frac{1\times 52+3}{52}$$

Add 303 and 1 to get 304.

$$\frac{161}{16}\times \frac{304}{101}\times \frac{1\times 52+3}{52}$$

Multiply \frac{161}{16} times \frac{304}{101} by multiplying numerator times numerator and denominator times denominator.

$$\frac{161\times 304}{16\times 101}\times \frac{1\times 52+3}{52}$$

Do the multiplications in the fraction \frac{161\times 304}{16\times 101}.

$$\frac{48944}{1616}\times \frac{1\times 52+3}{52}$$

Reduce the fraction \frac{48944}{1616} to lowest terms by extracting and canceling out 16.

$$\frac{3059}{101}\times \frac{1\times 52+3}{52}$$

Multiply 1 and 52 to get 52.

$$\frac{3059}{101}\times \frac{52+3}{52}$$

Add 52 and 3 to get 55.

$$\frac{3059}{101}\times \frac{55}{52}$$

Multiply \frac{3059}{101} times \frac{55}{52} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3059\times 55}{101\times 52}$$

Do the multiplications in the fraction \frac{3059\times 55}{101\times 52}.

$$\frac{168245}{5252}$$

Factor

$$\frac{5 \cdot 7 \cdot 11 \cdot 19 \cdot 23}{2 ^ {2} \cdot 13 \cdot 101} = 32\frac{181}{5252} = 32.034463061690786$$