Question

How many ounces in $${\displaystyle \frac{1}{8}}$$ pounds?

Answer 1

Hint: Here, we will use the concept of conversion of units. Both pounds and ounces are units of weight. We will convert the given quantity from one unit to another unit by multiplying the converting factor to it.

Complete Step by Step Solution:
We know that the given amount is a dimension representing the unit rates of mass for dry solid measurement.
The mass of dry solid in ounces $$m_{\left(oc\right)}$$ is equal to 16 times the mass of dry solid in pounds $$m_{\left(lb\right)}$$.
We know that 1 Pound is equal to 16 Ounces i.e., 1 Pound $$=$$ 16 Ounces
Now, we will convert the units of dry solid measurement from pounds to ounces by multiplying by 16.
$$m_{\left(oz\right)}=m_{\left(lb\right)}\times 16$$
Substituting $$m_{\left(lb\right)}={\displaystyle \frac{1}{8}}$$ in the above equation, we get
$$\Rightarrow m_{\left(oz\right)}={\displaystyle \frac{1}{8}}\times 16$$
Multiplying the terms, we get
$$\Rightarrow m_{\left(oz\right)}=2$$

Therefore, the mass of the dry solid is 2 ounces for the given $${\displaystyle \frac{1}{8}}$$ pounds.

Note:
We should also remember that Ounce is defined as a unit of weight which is used to measure a very small amount of something. We should note that an Ounce is a unit which is used to measure both the solid and liquid. A pound is a unit used to measure the dry solid. Fluid ounce, cups, pints, quarts, peck and Bushel are the units of measuring solid from the smaller amount to the larger amount. But this measurement is used to find the capacity of liquid. But here Ounce is used to represent the weight of the dry solid. 1 pint is equal to 16 ounces in the capacity of liquid whereas 1 pound is equal to 16 ounces in mass of dry solid. These units should be kept in mind while finding the ratios and proportion of similar quantities.