We read the number 3.3385 as "3 and 3385 ten thousandths," which, as a mixed number, is
[tex] 3 \frac{3385}{10,000} [/tex]
We can reduce 3385/10,000 using the common factor 5, giving us the equivalent fraction 677/2,000. We can't reduce it any further, so we can say that
[tex] 3.3385 = 3\frac{677}{2,000} [/tex]
To compare 3 5/16 to this number, we need to convert the fractional part to a denominator of 2,000. Since 2,000 = 16 x 125, we can multiply the numerator and denominator by 125 to find that
[tex] 3 \frac{5}{16}=3\frac{625}{2,000} [/tex]
Since 677 > 625, we can say that 3.3385 is larger than 3 5/16.
