Question

A:B:C = 2460g:324g:8.2kg
A)simplify a:b:c.
B)find B:C.
C)find B:A.

Answer 1

• A:B:C = 615g:81g:2050g
• B:C = 81g:2050g
• B:A = 27g:205g

Explanation:

Converting all in gram.

A=2460g

B=324g

C=8.2kg=8.2*1000g=8200g

Now, For A

In order to simplify A:B:C,

We need to find the greatest common factor of the three values.

The prime factorization of 2460 is 2 * 2 * 3 * 5 * 4`

The prime factorization of 324 is 2 * 2 * 3 * 3 * 3*3

The prime factorization of 8200 is 2 * 2 * 2 * 5 * 5 *41.

The greatest common factor of 2460, 324, and 8200 is 2*2=4.

dividing each by 4. we get

So, we can simplify A:B:C as 615g:81g:2050g

`\hrulefill`

For B

In order to find B:C, we can simply divide the two values.

B:C = 81g:2050g

`\hrulefill`

For C

In order to find B:A,

we can divide the two values.

B:A = 81g:615

while reducing its ratio will be

B: A=27g:205g