## Does anyone know how to write a formula to round up to the nearest fraction?

I want to write a formula to round up to the nearest .20 or .25 or .33.

Lets say I have a sum that equals 2.1621 and I want to round up to the nearest third which means the result I'm looking for would be 2.33 (nearest fifth would be 2.20 or fourth would

be 2.25).

Can someone help?

## Keys to the Problem Does anyone know how to write a formula to round up to the nearest fraction?

Shawn wrote:

I want to write a formula to round up to the nearest .20 or .25 or .33.

Lets say I have a sum that equals 2.1621 and I want to round up to the nearest third which means the result I'm looking for would be 2.33 (nearest fifth would be 2.20 or fourth

would be 2.25).

Ostensibly, you might write ROUNDUP(2.1621/0.33,0)*0.33. Similarly for 0.20 and 0.25.

But note not that 0.33 is not the same as "one-third". So that ROUNDUP results in 2.31, not 2.33 (or 2 1/3).

So you might write ROUNDUP(2.1621/(1/3),0)*(1/3). But that can be simplified algebraically to ROUNDUP(2.1621*3,0)/3.

Similarly, rounding up to one-fifth and one-fourth can be written ROUNDUP(2.1621*5,0)/5 and ROUNDUP(2.1621*4,0)/4.

An advantage of using that form is that, generally, computer arithmetic is more reliable with integers than with non-integers because most non-integers cannot be represented exactly. For example, 0.20 is actually represented internally in Excel as 0.200000000000000,011102230246251565404236316680908203125.

These infinitesimal differences sometimes cause computational anomalies.

But of course, if you have the fractions one-third, one-fourth etc in a cell (e.g.

A1), it is more convenient to write ROUNDUP(2.1621/A1,0)*A1.

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