Question

Is 3 5/16 larger then 3.3385

Answer 1

We read the number 3.3385 as "3 and 3385 ten thousandths," which, as a mixed number, is

`3 (3385)/(10,000)`

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

`3.3385 = 3(677)/(2,000)`

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

`3 (5)/(16)=3(625)/(2,000)`

Since 677 > 625, we can say that 3.3385 is larger than 3 5/16.

Answer 2

3 5/15 is not larger than 3.3385