D = M/V where M=mass and V = volume
Assume the Mass is 1 kg and the Volume = 1 cm³, so d= 1/1 kg/cm³
for V=0.1 → d = 1/0.1 = 10 kg.cm³
for V = 0.01 → d = 100.kg.cm³
for V = 0.001 → d = 1000.kg.cm³
for V = 0.000001 → d = 1,000,000.kg.cm³
and when Volume → 0. density →∞
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By taking a look at 1.64, you can already tell the 1 will be the whole number in the fraction. So let's focus on .64.
0.64 is in the hundredths place value, so the denominator will be 100. The unsimplified fraction would be 1 64/100.
To put this in simplest form we must divide 64 and 100. Let's start off with 2.
64/2 = 32
100/2 = 50
Let's continue until we can not divide by 2 anymore.
32/2=16
50/2 = 25
We can no longer divide by 2, howver there is not other number we can divide by both 16 and 25 evenly.
The answer in simplest form is 1 16/25
