Question

How is 14:6 equivalent to 7:3

Answer 1

Hi there,

I hope you and your family are staying safe and healthy!

The word Equivalent means that they are equal. So if you divide 14 by 6, you'll get 2.3 and if you divide 7 by 3, you'll also get 2.3

Thus, we say they are equivalent to one another.

Happy to help!

~Garebear

Answer 2

7:3

Explanation:

Hello!

14:6 can be represented as a fraction. We can convert using this conversion formula:
`a:b = \frac ab`

Convert:

• 
  `14:6 = (14)/(6)`

We can simplify it by removing common factors:

• 
  `(14)/(6)`
• 
  `(2(7))/(2(3))`
• 
  `(\\ot2(7))/(\\ot2(3))`
• 
  `\frac73`

Using the same logic when converting, we can revert it back to a fraction:

• 
  `(7)/(3) = 7:3`

Hence, it is 7:3.

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We can also do it by removing common factors as a ratio:

• 14:6
• 2(7):2(3)
• 7:3