Question

How many ounces are in \[10\dfrac{1}{2}\] pounds?

Answer 1

Hint: These types of conversion problems are pretty easy to solve once we have a clear cut ideal of converting things from one unit to another. The SI system of converting from one unit to another is the internationally adopted one and universally accepted. In this given problem we are given a measurement in terms of pounds which is in general of the FPS system. Conversion from FPS system to SI system or vice versa is very easy. For this problem we need to remember the relation for converting from pounds to ounces or vice versa. The relation is \[1\] pound = \[16\] ounce. Using this conversion formula we can very easily get our desired answer.

Complete step-by-step answer:
Now we start off with the solution to the given problem by writing the relation of pounds to ounce and vice versa. It is defined as,
\[1\] Pound = \[16\] ounce
In our problem we are given \[10\dfrac{1}{2}\] pounds. We first of all need to convert this improper fraction to a proper fraction. We do it as,
\[10\dfrac{1}{2}\] Pounds = \[\dfrac{21}{2}\] Pounds
Now in the relation \[1\] Pound = \[16\] ounce, we need to multiply both sides of the equation with \[\dfrac{21}{2}\] to get our required answer.
\[\dfrac{21}{2}\] Pound = \[16\times \dfrac{21}{2}=168\] ounce. Thus our answer to the problem is \[168\] ounces.

Note: For these types of problems, we need to have a deep understanding of fractions as well as of units and measurement and conversion from one system to another. We first of all need to convert the given improper fraction to proper fraction. After this we convert the given unit to the required unit using the relation that is known to us. We need to remember all such relations, else solving the problem may be cumbersome.