Question

The number of lines shows 5/7 and 10/14. Which statement is true?

Answer 1

`(5)/(7) = (10)/(14)` because
`(5)/(7) = ((5)(2))/((7)(2)) = (10)/(14)`.

Explanation:

Looking at the number line, we can see that the highlighted parts go the same distance on the number line, therefore the fractions are equal. The number of equal parts, the size of a single equal part, or the denominators of two fractions do not matter. It's the total size made of up of those equal parts that counts.

Also, you can even convert
`(5)/(7)` into
`(10)/(14)` by multiplying BOTH the denominator and numerator by 2. When doing this with any number, regardless if it's 2, the original fraction and the converted fraction will still be equal.