The Declaration of Independence gave birth to what is known today as the United States of America. The declaration helps the leaders and/or government lead our country. If we didn’t have it we wouldn’t have the laws we have today, we wouldn’t be able to have fire arms, women wouldn’t be able to vote, and so many other things. The document is symbolic of American democracy and one of the free charters of freedom. The words stated in the Declaration rallied support from colonists at home, and colonists living abroad.
Answer: OPTION D: ![\frac{3}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B32%7D)
Step-by-step explanation:
By definiton, fractions have the following form:
![\frac{a}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D)
Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.
In order to solve this exercise you need to remember de Division of fractions:
![\frac{a}{b}\div\frac{d}{e}=\frac{a}{b}*\frac{e}{d}=\frac{a*e}{b*d}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%5Cdiv%5Cfrac%7Bd%7D%7Be%7D%3D%5Cfrac%7Ba%7D%7Bb%7D%2A%5Cfrac%7Be%7D%7Bd%7D%3D%5Cfrac%7Ba%2Ae%7D%7Bb%2Ad%7D)
In this case, according to the information given in the exercise, you know that
of rubies are divided into 4 lots.
Therefore, in order to calculate the weight in pounds of each lot, you need to divide
by 4.
Then, you get the following result:
![\frac{3}{8}\ lb\div4=(\frac{3}{8}\ lb) (\frac{1}{4})=\frac{3}{8*4}\ lb=\frac{3}{32} \ lb](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%5C%20lb%5Cdiv4%3D%28%5Cfrac%7B3%7D%7B8%7D%5C%20lb%29%20%28%5Cfrac%7B1%7D%7B4%7D%29%3D%5Cfrac%7B3%7D%7B8%2A4%7D%5C%20lb%3D%5Cfrac%7B3%7D%7B32%7D%20%5C%20lb)
As you can notice, this result matches with the Option D.
6300kg = 6300000g 6300000g =6.3 x 10^6 g