Solve 2.3*1/5/220*2216.1108=

$$\frac{ 2.3 \times \frac{ 1 }{ 5 } }{ 220 \cdot 2216.1108 } =$$

Evaluate

$$\frac{115}{121886094}\approx 0.000000944$$

Solution Steps

Convert decimal number 2.3 to fraction \frac{23}{10}.

$$\frac{\frac{23}{10}\times \frac{1}{5}}{220\times 2216.1108}$$

Multiply \frac{23}{10} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{23\times 1}{10\times 5}}{220\times 2216.1108}$$

Do the multiplications in the fraction \frac{23\times 1}{10\times 5}.

$$\frac{\frac{23}{50}}{220\times 2216.1108}$$

Multiply 220 and 2216.1108 to get 487544.376.

$$\frac{\frac{23}{50}}{487544.376}$$

Express \frac{\frac{23}{50}}{487544.376} as a single fraction.

$$\frac{23}{50\times 487544.376}$$

Multiply 50 and 487544.376 to get 24377218.8.

$$\frac{23}{24377218.8}$$

Expand \frac{23}{24377218.8} by multiplying both numerator and the denominator by 10.

$$\frac{230}{243772188}$$

Reduce the fraction \frac{230}{243772188} to lowest terms by extracting and canceling out 2.

$$\frac{115}{121886094}$$

Factor

$$\frac{5 \cdot 23}{2 \cdot 3 \cdot 11 \cdot 59 \cdot 113 \cdot 277} = 9.43503858610811 \times 10^{-7}$$