a chemist mixes 2 3/5 of an element and 14 4/9 of another element. When the two are mixed what is the total mass in simplest form?
Wow. Thanks for the help🙄
To find the total mass when two quantities are combined, you need to add the masses of the two elements.
Let's start by converting both mixed numbers to improper fractions.
The first element has a mass of 2 3/5, which can be written as (5 * 2 + 3) / 5 = 13/5.
The second element has a mass of 14 4/9, which can be written as (9 * 14 + 4) / 9 = 130/9.
Now, to find the total mass, we add the two fractions: (13/5) + (130/9).
To add these fractions, we need to find a common denominator. In this case, the common denominator is 45 (which is the least common multiple of 5 and 9).
So, let's rewrite the fractions with a common denominator:
(13/5) = (13 * 9) / (5 * 9) = 117/45
(130/9) = (130 * 5) / (9 * 5) = 650/45
Now we can add the fractions:
117/45 + 650/45 = (117 + 650) / 45 = 767/45
Therefore, the total mass, in simplest form, is 767/45.
I forgot to add
A. 18 1/2
B. 18 2/45
C. 19 2/45
D. 18 1/4
which is correct?
the LCD of 3/5 and 4/9 is 45.
So, you have
2 27/45 + 14 20/45
I suspect a typo.