Answer :

90 dL times L/dL equals 9 L

How to find 90 dL times L/dL

To understand why 90 dL times L/dL equals 90L, it's important to understand the units involved and how they cancel out.

First, dL stands for deciliter, which is a unit of volume equal to one-tenth of a liter.

L, on the other hand, stands for liter, which is a unit of volume equal to 1000 milliliters or one cubic decimeter.

So, 90 dL represents a volume of 90 deciliters, while L/dL represents a ratio of liters to deciliters.

Specifically, L/dL means "liters per deciliter," which is a way of expressing a conversion factor between liters and deciliters.

Multiplying 90 dL by L/dL involves multiplying 90 dL by the conversion factor of L/dL, which is 1 liter per 10 deciliters. The deciliter units cancel out, leaving only the liter units.

Therefore, we can rewrite the calculation as follows:

90 dL x (1 L/10 dL) = (90/10) L = 9 L

So, the result is 9 L, which is equivalent to 90 dL times L/dL.

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