Solve 1div2.54div16*18.35756*110.7

$$1 \div 2.54 \div 16 \times 18.35756 \times 110.7$$

Evaluate

$$\frac{508045473}{10160000}\approx 50.004475689$$

Solution Steps

Express \frac{\frac{1}{2.54}}{16} as a single fraction.

$$\frac{1}{2.54\times 16}\times 18.35756\times 110.7$$

Multiply 2.54 and 16 to get 40.64.

$$\frac{1}{40.64}\times 18.35756\times 110.7$$

Expand \frac{1}{40.64} by multiplying both numerator and the denominator by 100.

$$\frac{100}{4064}\times 18.35756\times 110.7$$

Reduce the fraction \frac{100}{4064} to lowest terms by extracting and canceling out 4.

$$\frac{25}{1016}\times 18.35756\times 110.7$$

Convert decimal number 18.35756 to fraction \frac{1835756}{100000}. Reduce the fraction \frac{1835756}{100000} to lowest terms by extracting and canceling out 4.

$$\frac{25}{1016}\times \frac{458939}{25000}\times 110.7$$

Multiply \frac{25}{1016} times \frac{458939}{25000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 458939}{1016\times 25000}\times 110.7$$

Do the multiplications in the fraction \frac{25\times 458939}{1016\times 25000}.

$$\frac{11473475}{25400000}\times 110.7$$

Reduce the fraction \frac{11473475}{25400000} to lowest terms by extracting and canceling out 25.

$$\frac{458939}{1016000}\times 110.7$$

Convert decimal number 110.7 to fraction \frac{1107}{10}.

$$\frac{458939}{1016000}\times \frac{1107}{10}$$

Multiply \frac{458939}{1016000} times \frac{1107}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{458939\times 1107}{1016000\times 10}$$

Do the multiplications in the fraction \frac{458939\times 1107}{1016000\times 10}.

$$\frac{508045473}{10160000}$$

Factor

$$\frac{13 \cdot 41 \cdot 43 \cdot 821 \cdot 3 ^ {3}}{127 \cdot 2 ^ {7} \cdot 5 ^ {4}} = 50\frac{45473}{10160000} = 50.00447568897638$$